Question

If the hcf of 85 and 153 is expressible in the form of 85m-153;then find the value of m.

Answer 1

Solution:-
To find the HCF of 85 and 153, we shall find it by Euclid's Division Lemma.
Therefore,
153 = 85*1 + 68
85 = 68*1 + 17
Since the remainder is not equal to zero, we shall again apply Euclid's division lemma.
68 = 17*4
Now the remainder is zero, thus the HCF of 85 and 153 is 17.
17 = 85m - 153
Therefore,
85m = 153 + 17
85m = 170
m = 170/85
m =2  
Answer.

Answer 2

Do the prime factor of 85 and 153

85= 5*17

153= 3*3*17

Take it HCF

HCF (85,153)= 17

85m-153=17

85m=17+153

m= 170/85

m= 2