Question

Find the largest number that divides 232 and 157 leaving a remainder of 7

Answer 1

225=150×1+75
150=75×2+0
HCF(225,150)=75

Answer 2

Answer:

The largest number that divides 232 and 157 leaving a remainder of 7 is 75.

Step-by-step explanation:

To find : The largest number that divides 232 and 157 leaving a remainder of 7?

Solution :

First we find the difference of given numbers and remainders.

232-7=225

157-7=150

Now, We find the HCF of the numbers 225 and 150.

$225=3\times 3\times 5\times 5$

$150=2\times 3\times 5\times 5$

$HCF(225,150)=3\times 5\times 5$

$HCF(225,150)=75$

Therefore, The largest number that divides 232 and 157 leaving a remainder of 7 is 75.