Use euclid's division algorithm to find the HCF of 85 and 51 and then Express it in the form of 85 x + 51 y where x and y are integers
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85 = 51*1+34
51 = 34*1+17
34 = 17*2+0
hence HCF of 85 and 51 is 17
Now,
17 = 51-34
= 51-(85-51)
= 51-85+51
= 51*2-85*1
= 85(-1)+51(2)
Hence, x = (-1)
y = 2
51 = 34*1+17
34 = 17*2+0
hence HCF of 85 and 51 is 17
Now,
17 = 51-34
= 51-(85-51)
= 51-85+51
= 51*2-85*1
= 85(-1)+51(2)
Hence, x = (-1)
y = 2
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