Question

use Euclid axiom algorithm to find HCF of 210 and 55 if HCF is expressible in the form of 210 X + 55 Y find X and Y​

Answer 1

Answer:

x is 5 and y is -19

Step-by-step explanation:

HCF of 210 and 55

Using Euclid's division algorithm.

210 = (55*3) + 45

55 = (45*1) + 10

45 = (10*4) + 5

10 = (5*2) + 0

So, the remainder is 0 at the last stage, so HCF of 210 and 55 is 5.

 ∴ 5 = (210*5) + 55y

⇒ 5 = 1050 + 55y

⇒ - 55y = 1050 - 5

⇒ - 55y = 1045

⇒ y = - 1045/55

⇒ y = - 19

Hence, the value of x is 5 and y is - 19

Answer 2

Answer:

X=5 & Y = -19

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