Question

Find the greatest number which divided 203 and 434 leaving reminder 5 in each case ​

Answer 1

Step-by-step explanation:

Given that the numbers 203 and 434 leaving remainder 5 in each case respectively.

The numbers that are exactly divisible are 203 - 5 = 198 and 434 - 5 = 429.

Prime factorization of 198 = 2 * 3 * 3 * 11

Prime factorization of 429 = 3 * 11 * 13.

HCF(198,429) = 3 * 11

                       = 33.

Therefore the largest number which divides 203 and 434 leaving remainder 5 in each case = 33.

Hope this helps!

Answer 2

Step-by-step explanation:

203-5 = 198

434-5= 429

hcf of 198 and 429 is 33