Question

Find the greatest number which divides 137,167and152
leaving a remaineer 2in each caser​

Answer 1

Answer:

15.

Step-by-step explanation:

Factoring the numbers which are 2 less than the given numbers:

135 = 3*3*3*5

165 = 3*5*11

150 = 2*3*5*5

- we need the greatest common factor of these 3.

By inspection we see that it is 3*5 = 15..

Answer 2

Answer:

137-2=135, and 167-2=165, and 152-2=150

Step-by-step explanation:

Now HCF of 135,165,and 150 is

135=3 x 3 x 3 x 5

165=3 x 5 x 11

150=2 x 3 x 5 x 5

Hence HCF Of 135,165,150 is 3 x 5 = 15

Hence the greatest number that will divide 137,167 and 152 leaving the remainder 2 in each case is 15. So the correct answer is 15.