Question

what will be the H.C.F of two composite numbers​

Answer 1

Answer:

H.C.F. OF TWO COMPOSITE NUMBERS IS ALWAYS A PRIME NUMBER.

NOW THE QUESTION RISES WHAT IS A PRIME NUMBER?

SO A PRIME NUMBER IS A NUMBER WHICH HAS NO FACTORS OTHER THAN NUMBER ITSELF AND 1

LET US TAKE FEW EXAMPLES TO UNDERSTAND BETTER.

1. PRIME NUMBERS = 4 AND 6

 ANS.   H.C.F. OF 4 AND 6 = The factors of 4 are: 1, 2, 4

The factors of 6 are: 1, 2, 3, 6

Then the highest common factor is 2.

SO WE GOT THE H.C.F. AS 2

SO IS 2 A PRIME NUMBER? YES! AS IT HAS ONLY TWO FACTORS 1 AND NUMBER ITSELF(I.E. 2)

LET US TAKE SECOND EXAMPLE HARD...

2. 495 AND 345

ANS.The factors of 345 are: 1, 3, 5, 15, 23, 69, 115, 345

The factors of 495 are: 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Then the greatest common factor is 15.

SO IS 15 A PRIME NUMBER?YES! IT IS A PRIME NUMBER AS IT DOES NOT HAVE ANY FACTOR RATHER THAN 1 AND 15(NUMBER ITSELF)