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HomeAQA GCSE MathematicsHighest common factor (HCF) and lowest common multiple (LCM)
AQA · GCSE · Mathematics

Highest common factor (HCF) and lowest common multiple (LCM)
Practice Questions

40 AQA GCSE Mathematics questions on Highest common factor (HCF) and lowest common multiple (LCM), each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Highest common factor (HCF) and lowest common multiple (LCM).

Try 2 sample questions on Highest common factor (HCF) and lowest common multiple (LCM)

Question 1 · 1 mark · Difficulty 1/3

What is the LCM of 3 and 4?

  1. 12
  2. 1
  3. 24
  4. 7
Show answer & explanation
✓ Answer: A12
It is the smallest number that both 3 and 4 divide into exactly. 24 is a common multiple too, but it is not the lowest.
Question 2 · 1 mark · Difficulty 1/3

What is the HCF of 10 and 15?

  1. 150
  2. 30
  3. 5
  4. 1
Show answer & explanation
✓ Answer: C5
It is the largest number that divides into both 10 and 15 exactly. 30 is their lowest common multiple, which is a different thing.
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AQA GCSE Mathematics: Highest common factor (HCF) and lowest common multiple (LCM) FAQ

Is Kramizo free for AQA GCSE students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Highest common factor (HCF) and lowest common multiple (LCM) practice with other Mathematics topics or even switch to a totally different AQA subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Highest common factor (HCF) and lowest common multiple (LCM) questions aligned to the official AQA GCSE Mathematics syllabus?
Every question is written against the published AQA GCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real AQA paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from AQA.
How is Highest common factor (HCF) and lowest common multiple (LCM) typically tested on AQA GCSE Mathematics papers?
Highest common factor (HCF) and lowest common multiple (LCM) appears across multiple question types on real AQA GCSE Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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