Question

Is HCF and GCD are same ?
justify your answer.

Answer 1

Here Is Your Ans ⤵

----------

➡HCF Stands For Highest Common Factor And GCD Stands For Greatest Common Divider

➡Both HCF And GCD Are Same

Properties Of HCF Or GCD :-

➡(i) The H.C.F of two or more numbers cannot be greater than any one of them

Example :- The H.C.F of 16 , 18 and 24 is 2 which is less than all the given numbers

➡(ii) If one number is a factor of the other numbers , their H.C.F will be that smallest number

Example :- 8 is The H.C.F of 8 , 32 and 40

➡(iii) The H.C.F of the numbers is the product of the common prime factors

Example :- The H.C.F of 14 and 28 is 14 which is the product of the common prime factors 2 and 7

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

$<marquee >Follow Me$

Answer 2

$\bf\huge{Question:-}$

Is HCF and GCD are same ?

justify your answer.

$\bf\huge{answer:-}$

Here Is Your Ans ⤵

----------

➡HCF Stands For Highest Common Factor And GCD Stands For Greatest Common Divider

➡Both HCF And GCD Are Same

Properties Of HCF Or GCD :-

➡(i) The H.C.F of two or more numbers cannot be greater than any one of them

Example :- The H.C.F of 16 , 18 and 24 is 2 which is less than all the given numbers

➡(ii) If one number is a factor of the other numbers , their H.C.F will be that smallest number

Example :- 8 is The H.C.F of 8 , 32 and 40

➡(iii) The H.C.F of the numbers is the product of the common prime factors

Example :- The H.C.F of 14 and 28 is 14 which is the product of the common prime factors 2 and 7