Question

find the greatest number that divides 57 , 133 and 384 leaving 7 , 8 and 9 respectively as reminder ​

Answer 1

Answer:

68692

Step-by-step explanation:

Let say Number = N

N - 7 = 57A

A - 8 = 133B

B - 9 = 384C

=> B = 384C + 9

=> A - 8 = 133(384C + 9)

=> A = 51072 C + 1197 + 8

=> A = 51072 C + 1205

N - 7 = 57A

=> N - 7 = 57( 51072 C + 1205)

=> N = 2911104C + 68685 + 7

=> N = 2911104C + 68692

Smallest number = 68692