LCM, HCF
Grade : 5, 6
1. Find the greatest number which
divides 304 to leave a remainder
of 4 and which also divides 298
to leave a remainder of 4.
2. Mira has two pieces of ribbon of
lengths 18 cm and 24 cm
respectively.
She wants to cut both pieces into
smaller pieces of equal length
that are as long as possible.
What would be the length of each
smaller piece?
3. A cinema runs its movies in
two different halls 24/7. One
movie runs for 80 minutes
and the second one runs for
120 minutes. Both movies
start at 1.00 p.m. When will
the movies begin again at
the same time?
4. The chairs in a hall can be
arranged in rows of 48 and 60.
Find the least number of chairs
in the hall.
5. For a dinner party, Abraham is creating individual servings of starters. He has 9 carrot sticks and 18 celery sticks. If he wants each serving to be identical, with no food left over, what is the greatest
number of servings Abraham can create?
6. Miley and Cole ended up making the same number of biscuits for a bake sale at school, even though Miley made them in batches of 7 biscuits and Cole made them in batches of 11 biscuits. What is the smallest number of biscuits each must have baked?
7. Find the greatest number that will divide 79, 117, and 59 leaving the remainders 7, 9, 11 respectively.
8. Find the smallest three digit number which is exactly divisible by 4, 5, 6.
9. Find a number between 800 and 900 which is divisible by 22, 33 and 66.
10. The LCM and HCF of two numbers is 15 and 450 respectively. If one number is 75, what is the other number ?
Answers
1. HCF = 6
2. HCF = 6
3. 5 pm
4. HCF =12
5. HCF = 9
6. LCM =77
7. HCF (72, 108, 48 ) = 12
8. 120
9. 858
10. 90
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