HCF and LCM Questions for Class 6

# HCF and LCM Questions for Class 6

HCF and LCM questions for class 6 play a vital role in strengthening the maths concepts.

## HCF and LCM Class 6 Worksheet 1

1. Find the greatest 4-digit number which is divisible by 15, 25, 65, 75.

2. Test the divisibility of the following by 3 and 4:

a. 48

b. 42975

c. 1212

d. 35636

3. Find the HCF and LCM of 132, 682. Hence, show that the product of HCF and LCM is equal to the product of the numbers.

4. State true or false.

a. All prime numbers are odd numbers.

b. Product of the HCF and LCM of two numbers is equal to the product of the two numbers.

c. 15 is not a prime number as it has factors 1, 5 and 3.

d. Factors of 50 are 5, 2, 25, 50, 10.

e. The first composite number is 4.

f. HCF of 18, 27 and 36 is 3.

g. HCF of two coprime numbers is 1.

5. Fill in the blanks in each of the following:

a. The prime factors of 462 are ___________.

b. The HCF of 36 and 54 is ___________.

c. The LCM of 36, 40 and 120 is ___________.

d. Product of two numbers is 4032 and their LCM is 336, then their HCF is ___________.

e. Coprime numbers have no common factor other than ___________.

f. Odd numbers are natural numbers not divisible by ___________.

6. If the product of two numbers is 2028 and their HCF is 13, then find their LCM.

7. Find the HCF of 75, 57 and 84.

8. Match the following to the corresponding correct option:

a. The largest two-digit prime number is                                         i. 7

b. The greatest prime factor of 42 is                                                ii. 97

c. The number of prime numbers between 36 and 48 is                iii. 5

d. HCF of 209 and 143 is                                                                 iv. 4

e. A number ending with 0 or 5 is always divisible by                   v. 11

9. Find the LCM of 384, 102 and 256.

## HCF and LCM Class 6 Worksheet 2

1. HCF and LCM of two numbers is 21 and 840, respectively. If one number is 168, find the other number.

2. State whether the following statements are true or false.

a. Product of two odd numbers is an odd number.

b. If a number is divisible by 3, then the sum of its digits is divisible by 3.

c. Sum of two odd numbers is always odd.

d. 14, 27 are two coprime numbers.

e. The number of prime numbers between 42 and 72 are 8.

3. Given the set of numbers 5, 7, 13, 29, 37, 42, 72, 105, 210.

a. Which of the numbers is the largest prime number?

b. Which of the numbers is the largest multiple of 7?

c. Which of the numbers are multiples of 2, 3 and 7?

4. A man has two large containers containing 18 litres and 24 litres of milk respectively. Find the maximum capacity of a containers which can measure the milk of both containers exactly.

5. Find all the factors of 42 and 90. Hence, find the factors common to both.

6. Find the LCM of the following numbers.

a. 56, 84

b. 36, 48, 210

c. 34, 85, 51

7. Choose correct answers for each of the following from the given options:

a. All numbers which are divisible by 2 are

i. even numbers

ii. odd numbers

iii. composite numbers

iv. prime numbers

b. Sum of an even number and an odd number is

i. even

ii. odd

iii. negative

iv. positive

c. A prime number which is even is

i. 4

ii. 6

iii. 2

iv. 8

d. Which of the following numbers is divisible by 2, 3, 5 and 4?

i. 365

ii. 840

iii. 231

iv. 455

8. Product of two numbers is 7776. If their HCF is 36, then find their LCM. If one of the numbers is 108, find the other number.

9. Find the smallest number which when decreased by 5 is exactly divisible by 10, 12 and 18.

## HCF and LCM Class 6 Worksheet 3

1. Choose correct answers for each of the following from given options.

a. The HCF of 165 and 270 is

i. 5

ii. 30

iii. 15

iv. 25

b. The number of prime numbers between 8 and 20 is

i. 2

ii. 3

iii. 4

iv. 5

c. The LCM of 42 and 12 is

i. 210

ii. 2940

iii. 60

iv. 84

d. HCF and LCM of two numbers is 6 and 84 respectively. If one number is 12, then the other number is

i. 24

ii. 42

iii. 48

iv. 40

2. Find the HCF of the following numbers.

a. 108, 450

b. 36, 54, 138

c. 54, 144, 210

3. Find the greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm.

4. May 2nd is a Thursday.

a. What day of the week is May 16th?

b. What day of the week is May 23rd?

c. What day of week is June 2nd?

Find the relation between these numbers.

5. Find the HCF and LCM of 98, 180 and 400.

6. Fill in the blanks:

a. The HCF and LCM of 6, 8, 16 is respectively ___________ and ___________.

b. The smallest number which is divisible by both 5 and 7 is ___________.

c. An even number + ___________ = an odd number.

d. The factor common to 42 and 35 is ___________.

e. A number ending in 2 is always divisible by ___________.

7. The product of HCF and LCM of two numbers is 5040. If one of the numbers is 42, find the other number. Hence, find the HCF and LCM of the two numbers.

8. The product of two numbers is 12096. If their LCM is 336, then find their HCF.

9. Find the greatest number which on dividing 1657 and 2037 leaves a remainder 6 and 5, respectively.

Worksheet 1

1. 9750

2. Divisible by 3: a, b, c

Divisible by 4: a, c, d

3. LCM = 4092, HCF = 22

4. a. False     b. True

c. True      d. True

e. True     f. False

g. True

5. a. 2, 3, 7, 11

b. 18      c. 360

d. 12     e. 1     f. 2

6. 156

7. 3

8. a. ii       b. i

c. iv      d. v

e. iii

9. 13056

Worksheet 2

1. 105

2. a. True    b. True

c. False    d. True

e. False

3. a. 37       b. 210

c. 42, 210

4. 6 litres

5. Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Common factors: 1, 2, 3, 6

6. a. 168     b. 5040

c. 510

7. a. i       b. ii

c. iii        d. ii

8. LCM: 216

Other number: 72

9. 185

Worksheet 3

1. a. iii         b. iii

c. iv         d. ii

2. a. 18       b. 6

c. 6

3. 35 cm

4. a. Thursday

b. Thursday

c. Sunday

5. LCM: 176400, HCF: 2

6. a. 2, 48       b. 35

c. odd number

d. 7        e. 2

7. 120

HCF: 6, LCM: 840

8. 36

9. 127

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