Find the greatest number by which when the numbers 158 and 215 are divided, it leaves remainders 4 and 5. respectively.

Correct option is D

Given:

Given numbers are 158 and 215

Formula Used:

HCF is the highest common number which when divides the numbers leaves no remainder

Solution:

Here the numbers158 and 215 should leave remainder 4 and 5 respectively hence;

Numbers are 158 - 4 =154

215 - 5 = 210

Prime factorization of 154 and 210 is:

154 =$$2 \times 7 \times 11$$​​

210 = $$2 \times 3 \times 5 \times 7$$​​

HCF =$$2 \times 7$$​ = 14