Question

find the greatest number which will divide 167 and 95 leaving 5 as remainder​

Answer 1

Question:

Find the number which divides 167 and 95 leaving 5 as remainder.

Answer:

18 is the number which when divides 167 and 95 leaves remainder 5.

Solution:

As the number divides 167 and leaves 5 as remainder, so the number divides 167-5=162 exactly.

Again the number also divides 95 leaving 5 as remainder, so the number divides 95-5=90 exactly.

Now, we find HCF of 162 and 90

Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81 and 162.

Common factors of 90 and 162 are 1, 2, 3, 6, 18.

Common factors of 90 and 162 are 1, 2, 3, 6, 18.The Highest Common Factor i.e. HCF of 90 and 162 is 18.

Hence, 18 is the required number.