Question

what is the hcf of 54 and 44​

Answer 1

The answer is 8. HCF stands for Highest Common Factor which means a number that is a factor of all the given numbers and is the largest amongst such numbers. One way this can be achieved is by prime factorisation of all the three given numbers.

48= (2*2*2)*2*3

56=(2*2*2)*7

72=(2*2*2)*3*3

Since 2*2*2 is common for all three given numbers. H.C.F= 2*2*2 = 8

:)

Answer 2

To find : HCF of $54$ and $44$ .

Solution :

• HCF is the highest common factor also called as greatest common divisor ,( GCD ).
• To find HCF of $54$ and $44$ we find prime factors of these numbers .

• Prime factors are:
• Prime factors of $54 = 2\times 3\times 3\times3$

                                        $=2^{1}\times 3^{3}$

• Prime factors of $44 = 2\times 2\times 11$

                                       $= 2^{2}\times 11^{1}$  

• HCF of  $54$ and $44$ = $2$

      ( since ,  $2$ is the only greatest common  factor of $54$ and $44$ )

Hence , HCF of  $54$ and $44$  is $2$ .