Grade 6 · Year 7 · Class 6 · ages 11–12 · Number sense
Highest common factor and lowest common multiple: Grade 6 practice
Finding the greatest common factor (HCF/GCF) and least common multiple (LCM). Eight questions at a time, instant feedback and a mastery score from 0 to 100.
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Right answers raise your mastery score (more on harder questions) and wrong ones lower it a little. Your best score is saved on this device, and in your account if you log in.
The idea in one minute
List the factors for the HCF and the multiples for the LCM, or use prime factors for bigger numbers.
Try these on paper first
One question at each level. Tap a question to see the answer.
Easy The LCM of 22 and 11 is
Answer: 22
Medium The HCF (GCF) of 32 and 15 is
Answer: 1
Challenge The HCF (GCF) of 12 and 31 is
Answer: 1
More ways to practise highest common factor and lowest common multiple
- Printable highest common factor and lowest common multiple worksheet with an answer key (new questions every time)
- Prime Hunter: Tap every prime, square, multiple or factor hidden in a grid of numbers.
- All Grade 6 practice · Number sense worksheets
Related skills
- Squares and cubes (Grade 5)
- Prime and composite numbers (Grade 5)
- Factors and multiples (Grade 4)
- Roman numerals (Grade 4)
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FAQ
Highest common factor and lowest common multiple: questions
What grade is highest common factor and lowest common multiple?
It is usually taught in Grade 6 (Year 7 in England, Class 6 in India, ages 11–12), though schools and countries differ. Try the grade above or below if it feels too hard or too easy.
What does a highest common factor and lowest common multiple question look like?
For example: "The HCF (GCF) of 32 and 15 is" The answer is 1. List the factors for the HCF and the multiples for the LCM, or use prime factors for bigger numbers.
What should I learn before and after highest common factor and lowest common multiple?
Before it, try prime and composite numbers (Grade 5). After it, move on to square roots (Grade 8).
How can I get better at highest common factor and lowest common multiple?
List the factors for the HCF and the multiples for the LCM, or use prime factors for bigger numbers. Practise a little every day, read the hint after each wrong answer, and use the printable worksheet when you want to write it out.
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