Question

If the HCF (210,55) is expressible in the form of 210 × 5 - 55y, find y

Answer 1

Hey dear !

Here's your answer ❗

Let us Frist the HCF of 210 and 55.

Applying Euclid devision lemma on 210 and 55, we get

210 = 55 × 3 + 45

55 = 45 × 1 + 10

45 = 4 × 10 + 5

10 = 5 × 2 + 0

we observe that the remainder at this stage is zero. so, the last division i.e., 5 is the HCF of 210 and 55.

∴ 5 = 210 × 5 + 55y

= 55y = 5 - 1050
= -1045

∴ y = -19

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Answer 2

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