Question

find the greatest number that divides 382 , 509 and 636 leaving reminders 4 , 5 and 6 respectively

Answer 1

I hope you will understand..

good luck.

Answer 2

Answer:

clearly , The required number is the HCF of the numbers,

382-4=378 ,

509-5=504

636-6=630.

now, the prime factorization of 378, 504 and 630 are ,

378 = 2×3^3×7;

504 = 2^3×3^2×7

and. 630= 2×3^2×7:

Therefore, HCF ( 378,504,630) = 2×3×7

= 126