Year 8 HCF and LCM Worksheets | Printable PDFs
Year 8 HCF and LCM worksheets for Year 8 Maths (Key Stage 3). Pupils in Year 8 are typically aged 12–13. These worksheets help students find the highest common factor (HCF) and lowest common multiple (LCM) of numbers.
Students practise using factor lists, multiples and Venn diagrams to solve HCF and LCM problems. Some students may be unfamiliar with how to work out the factors of a number. To get extra practice with factors, look at Year 7 Factors Worksheets.
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For more Factors Worksheets, see Year 7 Factors Worksheets
For more Highest Common Factor Worksheets, see Year 9 Highest Common Factor Worksheets
Common Questions about Year 8 HCF and LCM
What is the highest common factor (HCF)?
The highest common factor is the largest number that divides exactly into two or more numbers.What is the lowest common multiple (LCM)?
The lowest common multiple is the smallest number that is a multiple of two or more numbers.How can prime factors help you find the HCF and LCM?
Prime factorisation shows the factors of each number. Common factors are used to find the HCF, while all factors are used to find the LCM.
Year 8 HCF and LCM Common Mistakes
Common Mistake 1
Mixing up factors and multiples.Common Mistake 2
Choosing a common factor that is not the highest.Common Mistake 3
Forgetting to include all prime factors when finding the LCM.
HCF and LCM Worksheets - Free Worksheets Above
Lowest Common Multiple
Highest Common Factor
HCF and LCM Venn Diagrams (A)