Math, asked by surajpuja3751, 16 days ago

Find HCF of 49,77 by prime fatorisatio

Answers

Answered by Anonymous
1

By prime factorisation,

  • 49 = 7² × 11⁰
  • 77 = 7¹ × 11¹

∴ HCF(49, 77) = 7¹ × 11⁰ (least common power)

⇒ HCF(49, 77) = 7.

More:-

To find LCM, we have to find the product of highest powers which lies in the prime factor.

So, HCF(49, 77) = 7² × 11 = 49 × 11 = 539.

  • LCM of fractions = LCM of numerators ÷ HCF of denominators.
  • HCF of fractions = HCF of numerators ÷ LCM of denominators.
Similar questions