Factors, multiples, HCF & LCM
AQA GCSE Maths revision on Factors, multiples, HCF & LCM. Aligned to the AQA GCSE Mathematics 8300 specification. This bank has 26 practice questions on this topic.
Sample questions (3 of 26)
-
Question 1
HCF of 12 and 18?
Show answer
Answer: 6
Prime factorise: 12 = 2^2 x 3 and 18 = 2 x 3^2. The HCF (highest common factor) is the product of the lowest power of each shared prime, so 2 x 3 = 6.
-
Question 2
LCM of 4 and 6?
Show answer
Answer: 12
The LCM (lowest common multiple) is the smallest number both divide into. 4 = 2^2, 6 = 2 x 3. LCM = 2^2 x 3 = 12.
-
Question 3
HCF of 24 and 36?
Show answer
Answer: 12
Prime factorise both: 24 = 2^3 x 3; 36 = 2^2 x 3^2. Take the lowest power of each shared prime: 2^2 x 3^1 = 12.
Want to test yourself on the remaining cards for this topic?
23 more questions on Factors, multiples, HCF & LCM — plus mistakes tracking and spaced repetition across the whole Maths spec.