HCF and LCM Questions for Class 7

# HCF and LCM Questions for Class 7

HCF and LCM Questions for Class 7 play a vital role in revising the maths concepts.

## HCF and LCM Questions for Class 7

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

a. The number of factors of 54 are 8.

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

c. The numbers 512 and 945 are coprime.

d. Three clocks chime at interval of 15, 20 and 30 minutes. If they chime together at 1 p.m., then they will chime together again at 2 p.m.

2. Choose the correct option.

a. The LCM of 18, 27 and 36 is

i. 9

ii. 540

iii. 36

iv. 108

b. The HCF and LCM of two numbers are 3 and 105 respectively, then the two-digit numbers satisfying the above condition is

i. 15 and 21

ii. 3 and 105

iii. 9 and 35

iv. 45 and 71

c. The least number which when divided by 12, 18 and 30 leaves the same remainder 5 is

i. 180

ii. 3

iii. 185

iv. 6

3. Match the following to the correct answer.

a. The greatest prime factor of 195 is                                    i. 4

b. The least composite number is                                          ii. 1

c. The number which is neither prime nor composite is       iii. 13

d. The greatest number which divides each of two or

more numbers exactly is termed as                                 iv. xy

e. If two numbers x and y are coprime, then their LCM is    v. HCF

4. The HCF of two numbers 185 and 2750 is 5, find their LCM.

5. Find the HCF and LCM all of the following numbers by factor method.

a. 16, 18, 24, 36, 40

b. 48, 20, 64, 90, 50

6. Find the least number which when divided by 15, 24, 32 and 36 leaves remainder 9.

7. Find the greatest number that will divide 811, 1317 and 1984 leaving remainder 6 in each case.

8. Find the greatest number that exactly divides 48, 144 and 168.

9. Find the greatest number that will divide 3035 and 2610 leaving a remainder 33 and 3 respectively.

10. Is it possible for two numbers to have 35 as their HCF and 430 as their LCM? Give reasons to support your answer.

11. State true or false.

a. The HCF of two coprime numbers is 1.

b. Multiples of 7 are 7, 14, 21, 28, 35 etc.

c. LCM of 12, 21 and 36 is 420.

d. Product of HCF and LCM of two numbers is equal to the quotient of the two numbers divided.

e. LCM of two composite numbers is always greater than their HCF.

12. Choose the correct option.

a. The prime factors of 1001 are

i. 7, 11 and 13

ii. 3, 7, 11

iii. 3, 11, 13

iv. 3, 7, 13

b. The number which is coprime with 39 is

i. 24

ii. 42

iii. 35

iv. 30

c. The least even number divisible by 13 is

i. 39

ii. 26

iii. 35

iv. 52

d. The HCF of 32, 48 and 280 is

i. 8

ii. 140

iii. 24

iv. 6

13. Fill in the blanks.

a. HCF of coprime numbers is ___________.

b. HCF and LCM of two numbers are respectively 32 and 192. If one number is 96, then the other is ___________.

c. A number which is exactly divisible by 5 has __________ or __________ in the ones place.

d. The least number which is a multiple of 12 and 15 is ___________.

e. 756 on factorizing and writing in exponent form is written as ___________.

14. Find the LCM of 540, 5157 and 2052.

15. Find the HCF of the following using division method.

a. 324, 576 and 1080

b. 180, 250 and 684

16. Find the greatest missing digits so that the following numbers are divisible by 9.

a. 3 ___ 7

b. ___ 99

c. 6 ___ 7653

17. Find the least number of sweets necessary to be distributed equally among 25, 30 or 35 children.

18. Find the greatest number which divides 256, 928 and 1376 exactly.

19. Find the minimum number of square tiles required to pave the floor of a room whose measurement is 2 m 10 cm × 1 m 68 cm.

20. Three drummers beat their drums at intervals of 4 seconds, 12 seconds and 16 seconds respectively. After what time will they again beat together if they had started beating together?

21. Find the least number which when decreased by 8 is divisible by 96, 192 and 216.

22. Crossword Puzzle

Across

3. The product of two integers of different signs is always ________.

4. LCM of two numbers is always exactly divisible by their ________.

5. 1 is a ________ of every number.

7. Every improper fraction can be written as a ________ fraction.

9. On subtracting 1 from a number, we get ________ of the number.

10. Two natural numbers which do not have a common prime factor are called ________.

11. _________ value of an integer is its numerical value regardless of its sign.

12. 1 is known as the multiplicative ________ for integers.

13. ________ is neither prime nor composite.

Down

1. Prime numbers differing by two are called ________.

2. On adding 1 in a number, we get its _______.

6. The set of numbers denoted by Z is _______.

8. Additive property shown by (a + b) + c = a + (b + c) is ________.

## HCF and LCM Questions for Class 7 Answers

1. a. True        b. True

c. True        d. True

2. a. iv          b. i

c. iii

3. a. iii        b. i

c. ii         d. v

e. iv

4. 1,01,750

5. a. HCF = 2; LCM = 720

b. HCF = 2; LCM = 14400

6. 1449

7. 23

8. 24

9. 79

10. No; because 430 is not divisible by 35.

11. a. True        b. True

c. False        d. False

e. True

12. a. i           b. iii

c. ii           d. i

13. a. 1          b. 64

c. 5; 0      d. 60

e. 22 × 33 × 7

14. 1959660

15. a. 36       b. 2

16. a. 8         b. 9

c. 0

17. 1050 sweets

18. 32

19. 20 square tiles

20. 48 seconds

21. 1736

22. Crossword Puzzle

Across: 3. Negative   4. Sum

5. Factor       7. Mixed

9. Predecessor   10. Coprime

11. Absolute    12. Identity

13. One

Down: 1. Twin primes

2. Successor    6. Integers

8. Associative

MCQs Questions for Class 7 Maths

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