Mathematics for IGCSE & O level - Number (Section 1 - No. 9)
Which of the following statements are true regarding the highest common factor (HCF)?
The HCF of two numbers is always less than or equal to the smaller of the two numbers.
The HCF of two prime numbers is always 1.
The HCF of two numbers is always greater than or equal to the larger of the two numbers.
The HCF is useful in simplifying fractions.
Explanation
The HCF is always a factor of both numbers and therefore cannot be larger than the smaller number. The HCF of two prime numbers (e.g., 7 and 11) is always 1, because their only common factor is 1. The HCF is indeed used to simplify fractions.
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