Find the odd numbers lying between 1000 and 1500,the H.C.F of which is 157.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We are asked to find odd numbers between 1000 and 1500 such that 157 is their greatest common factor. Since 157 is prime, we need only look at multiples of 157:

157x7=1099

157x8=1256

157x9=1413

These are the only multiples of 157 in the required range. The question further stipulates that...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

We are asked to find odd numbers between 1000 and 1500 such that 157 is their greatest common factor. Since 157 is prime, we need only look at multiples of 157:

157x7=1099

157x8=1256

157x9=1413

These are the only multiples of 157 in the required range. The question further stipulates that the numbers be odd, so we discard 1256.

---------------------------------------------------------------

The numbers we seek are 1099 and 1413

---------------------------------------------------------------

Approved by eNotes Editorial Team