Question

the greatest number which divides 261 933 and 1381 leaving remainder 5 in each case division method​

Answer 1

Given:

The numbers 261 933 and 1381  

To find:

The greatest number which divides 261 933 and 1381 leaving remainder 5 in each case  

Solution:

From given, we have,

The numbers 261 933 and 1381 leaving remainder 5 in each case  

To find the greatest number which divides 261 933 and 1381 leaving remainder 5 in each case is obtained by finding the greatest number which divides (261 - 5) (933 - 5) and (1381 - 5)

= HCF of (256, 928, 1376)

The factors of 256 are: 1, 2, 4, 8, 16, 32, 64, 128, 256

The factors of 928 are: 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The factors of 1376 are: 1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376

Then the greatest common factor is 32.