Question

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

Answer 1

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.

$225=3\times 3\times 5\times5$

225=3×3×5×5

$150=2\times 3\times 5\times5$

150=2×3×5×5

$HCF(225,150)=3\times 5\times5$

HCF(225,150)=75

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

Answer 2

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 =3×3×5×5

150 =2×3×5×5

HCF (225,150) =3×5×5

                       =75

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