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HCF and LCM · question bank

HCF and LCM question bank

Practise every part of the topic, from listing factors to olympiad puzzles. Questions are grouped by skill and graded foundation, core, stretch and challenge. Every question has a full worked solution: after answering, read it even if you were right, because it often shows a faster method. Every numerical answer has been checked by computer.

Foundation 20Core 31Stretch 18Challenge 10

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All 79 questions

Showing 15 of 79 matching questions.

Q1

FoundationCommon factors and the HCF

Which list shows all the common factors of 12 and 20?

Q2

FoundationCommon factors and the HCF

Find the HCF of 18 and 27.

Q3

FoundationCommon factors and the HCF

Find the HCF of 14 and 35.

Q4

FoundationCommon factors and the HCF

True or false: the HCF of 9 and 16 is 1.

Q5

CoreCommon factors and the HCF

Find the HCF of 48 and 60.

Q6

CoreCommon factors and the HCF

Find the HCF of 24, 36 and 60.

Q7

CoreCommon factors and the HCF

How many common factors do 36 and 54 have?

Q8

CoreCommon factors and the HCF

Riya says: "The HCF of 30 and 45 is 5, because 5 is a factor of both." What is wrong?

Q9

StretchCommon factors and the HCF

The HCF of two numbers is 1 and one of them is 35. Which is the smallest number greater than 1 that the other one could be?

Q10

FoundationCommon multiples and the LCM

Find the LCM of 4 and 10.

Q11

FoundationCommon multiples and the LCM

Find the LCM of 6 and 9.

Q12

FoundationCommon multiples and the LCM

Which of these is a common multiple of 3 and 8?

Q13

FoundationCommon multiples and the LCM

Write down the third common multiple of 4 and 6 (the smallest one counts as the first).

Q14

CoreCommon multiples and the LCM

Find the LCM of 12, 15 and 20.

Q15

CoreCommon multiples and the LCM

Find the LCM of 14 and 21.

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