Question

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

Answer 1

Answer:

18.

Step-by-step explanation:

First we have to subtract remainder from both the numbers.

The new numbers become 167-5 =162 and 95-5=90.

Now let's find out GCD of 90 and 162.

The gcd of 90 and 162 is 18.

Steps to find GCD

Find the prime factorization of 90

90 = 2 × 3 × 3 × 5

Find the prime factorization of 162

162 = 2 × 3 × 3 × 3 × 3

To find the gcd, multiply all the prime factors common to both numbers:

Therefore, GCD = 2 × 3 × 3

GCD = 18.

Answer 2

Answer:

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