HCF (Highest Common Factor) and LCM (Lowest Common Multiple) are fundamental concepts in number theory. They are used to simplify fractions, find comm
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What are coprime numbers?
Two numbers are coprime if their HCF is 1, meaning they share no common factors other than 1. For example, 8 and 9 are coprime because HCF(8, 9) equals 1. Any two consecutive integers are always coprime.
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Is there a formula for HCF and LCM?
For two numbers a and b: HCF(a, b) times LCM(a, b) equals a times b. The Euclidean algorithm efficiently finds HCF using repeated division. For multiple numbers, apply the formula pairwise.
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Can HCF be larger than LCM?
No, HCF is always less than or equal to LCM. HCF is a common divisor (at most the smaller number) while LCM is a common multiple (at least the larger number). They are equal only when the numbers are the same.
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