Math, asked by tanika, 11 months ago

Use euclids division algorithm to find hcf of 455 and 84

Answers

Answered by phoenixadi2907
3

Answer:

HCF = 7

Step-by-step explanation:

let c=455 and d=84

∴ by euclids division lemma,

c=dx+q

455 = 84 × 5 + 35

∵  r is not equal to 0

therefore, again by euclids division lemma

84 = 35 × 2 + 14

∵  r is not equal to 0

therefore, again by euclids division lemma

35 = 14 × 2 + 7

 ∵  r is not equal to 0

therefore, again by euclids division lemma

14 = 7 × 2 + 0

  ∵  r is equal to 0

Therefore, HCF(455,84) = 7

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