Question

The greatest number that will divide 187 233 and 279 leaving the same remainder in each case is

Answer 1

Find, HCF of (233-187), (279-233), (279-187)

HCF of 46,46,92 = 46

So, the required greatest number is 46

Answer 2

Answer:

The required largest number is 46.

Step-by-step explanation:

Given : The greatest number that will divide 187, 233 and 279 leaving the same remainder in each case.

To find : The number ?

Solution :

First we find the difference between these numbers.

The required numbers are

233-187=46

279-233=46

279-187=92

Now, We find the HCF of 46 and 92.

$46=2\times 23$

$92=2\times 2\times 23$

$HCF(46,92)=2\times 23=46$

Therefore, The required largest number is 46.