What is the HCF of \(\frac{15}{14}\), \(\frac{12}{35}\) and \(\frac{40}{49}\)?
\(\frac{1}{490}\)
For fractions, HCF = HCF(numerators) / LCM(denominators).
Numerators 15, 12, 40 → HCF = 1 (no common prime factor).
Denominators 14, 35, 49 → LCM = 2 × 5 × 7² = 490.
Hence, 1/490.
The ratio of two numbers is \(3:4\) and their HCF is 7. Their LCM is:
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