Question

Which is the largest number which divides 77, 147 and 252 leaving same remainder in each case?

Answer 1

required number = HCF of { b-a, c -b, c -a}
so, HCF of { (147-77) , (252-147), (252-77)}={ 70 , 105 , 175 }
factor of 70 = 2× 5 × 7
factors of 105 = 5 × 7 ×3 
factors of 175 = 5 × 7 × 3 
so, common factors of all = 35 
so, 35 is the answer

Answer 2

nahi aatayar so soory