Question

Express HCF of 78 and 244 in the form of linear equation if so then find x and y and also show x and y are you not unique​

Answer 1

Answer:

78=2×3×13

244=2×2×61

h.c.f is equal to 2

Answer 2

Step-by-step explanation:

78 = 2 × 3 × 13

244 = 2 × 2 × 61

hcf = 2

Now, to express H.C.F = 2 as a linear combination of 78 and 244

⇒ 2 = 78x + 244y , where x and y are integers. (By Euclid division Lemma)

Use hit and trial method.

take x = - 25 y = 8

78 ( -25 ) + 244 ( 8 ) = 2

- 1950 + 1952 = 2

So 2 = 78x + 244y , where x = – 25 and y = 8

hope it will helps you