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Highest common factor (HCF)
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EasyQuestion 1
[2 marks][Sample GCSE AQA question on Highest common factor (HCF) - Easy difficulty]
This question tests foundational understanding of Highest common factor (HCF). Real exam-style questions will appear here once content is generated.
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MediumQuestion 2
[4 marks][Sample GCSE AQA question on Highest common factor (HCF) - Medium difficulty]
This question requires applying Highest common factor (HCF) concepts to a problem. Multi-step working is expected.
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HardQuestion 3
[6 marks][Sample GCSE AQA question on Highest common factor (HCF) - Hard difficulty]
This challenging question combines Highest common factor (HCF) with other concepts. Extended working and clear reasoning required.
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The Highest Common Factor (HCF) is the largest number that divides exactly into two or more numbers. There are two main methods: listing factors or using prime factorisation.
For smaller numbers, list all factors of each number and find the largest one they share. For example, factors of 12 are 1, 2, 3, 4, 6, 12 and factors of 18 are 1, 2, 3, 6, 9, 18. Common factors are 1, 2, 3, 6, so HCF = 6.
For larger numbers, prime factorisation is more efficient. Write each number as a product of primes, then multiply together the primes that appear in ALL numbers, using the lowest power of each. HCF is useful for simplifying fractions and solving problems about dividing items into equal groups.
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