HCF and LCM Sums for Class 5
Worksheet 1
1.
Find the LCM of 128 and 56 by prime factorisation.
2.
The numbers which have only two factors, 1 and the number itself are called
(a) Coprime numbers
(b) Twin prime numbers
(c) Prime numbers
(d) Composite
numbers
3.
Write two coprime numbers that come just before 52.
4.
Draw the factor tree of 52.
5.
Find the HCF of 26 and 130 by prime factorisation.
6.
Every number is a factor and multiple of itself—True or False?
7.
The difference between any two prime numbers is greater than 2 and a composite
number is always odd—True or False?
8.
HCF of 36 and 144 is
(a) 9
(b) 12
(c) 36
(d) 4
9.
Find the LCM of 25, 125 and 175.
10.
Find the HCF of 21, 84 and 63.
11.
The HCF and LCM of two numbers is 28 and 336, respectively. If one of the
numbers is 112, find the other number.
12.
Find the smallest 4-digit number which is exactly divisible by 12, 15 and 20.
13.
Find the greatest 3-digit number which when divided by 12, 16 and 18 leaves a
remainder 1.
14.
Three bells ring at regular intervals of 8, 10 and 12 minutes. If they ring
together at 10.00 a.m., when will they ring together again?
15. A, B, C have 225, 480 and 255 chocolates.
They want to make small packets by putting the maximum number of chocolates but
with equal number of chocolates in each packet. How many packets will each
person have?
Worksheet 2
1. Find the
HCF of 8, 12 and 100 by short division method.
2. Find the
HCF of 240 and 924 by long division method.
3. Two wires
of lengths 126 cm and 210 cm are cut into pieces of the same length.
Find the greatest possible length of
the pieces.
4. Find the
LCM of 9, 12 and 24 by the prime factorisation method.
5. Find the
LCM of 28, 30 and 35 by short division method.
6. The HCF
of two numbers is 3, and the LCM is 90. If one of the numbers is 15, find
the other number.
7. Find the
product of two numbers, whose HCF is 3 and LCM is 108?
8. What number
should be added to 170 to make it exactly divisible by 9, 12 and 15?
9. Find the
HCF of 12, 16 and 20 by short division method.
10. Find the
HCF of 36 and 90 by long division method.
11. A shopkeeper has 140 litres of one kind of oil and 350 litres of another kind of oil. He wants to sell the oil by filling the two kinds of oil in tins of equal volume. What is the greatest capacity of such a tin?
12. Find the
LCM of 14, 20 and 32 by prime factorisation method.
13. Find the
LCM of 18, 24 and 60 by short division method.
14. The
product of two numbers is 300. If their LCM is 60, find the HCF.
15. Find the
product of two numbers, whose HCF is 4 and LCM is 8.
16. What
number should be subtracted from 640 to make it exactly divisible by 6, 10
and 14?
ANSWERS
Worksheet 1
1. 896
2. (c)
3. 50, 51
4. Do it yourself
5. 26
6. True
7. False
8. (c)
9. 875
10. 21
11. 84
12. 1020
13. 865
14. At 12:00 noon
15. A: 15
packets; B: 32 packets; C: 17 packets
Worksheet 2
1. 4
2. 12
3. 42 cm
4. 3
5. 420
6. 18
7. 324
8. 10
9. 4
10. 18
11. 70 litres
12. 1120
13. 360
14. 32
16. 10
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| Maths Worksheets for Other Chapters of Class 5 |
1. Large numbers class 5 worksheets
2. Operations on large numbers class 5 worksheets
4. Fractions worksheet for class 5
5. Factors and multiples class 5 worksheets
6. Decimal worksheet for class 5
7. Metric measures class 5 worksheet
8. Perimeter and area class 5 worksheets
10. Time worksheet for class 5
11. Volume worksheet for class 5
12. Data handling class 5 worksheets
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