Question

find the HCF of 351 and 621​

Answer 1

Answer:

GCF, HCF, GCD (351; 621) =3³ = 27

Step-by-step explanation:

HCF of 351 and 621​

351 =3*117

      =3*3*39

      =3*3*3*13

621 = 3*207

       =3*3*69

       =3*3*3*23

Here we are using the prime factorization method to find the HCF.

The prime factorisation of a number: finding the prime numbers that multiply together to make that number.

351 = 3³× 13

621 = 3³× 23

Multiply all the common prime factors, taken by their smallest powers (exponents).

The greatest (highest) common factor (divisor):

GCF, HCF, GCD (351; 621) =3³ = 27

* The natural numbers that are only divisible by 1 and themselves are called prime numbers. A prime number has exactly two factors: 1 and itself.

* A composite number is a natural number that has at least one other factor than 1 and itself.

Answer 2

Answer:

The highest common factor of 351 and 621 is 27.

Step-by-step explanation:

Given the numbers 351 and 621.

Using the prime factorization method, 351 and 621 can be written as the product of their prime factors.

$351 =3 \times 3\times 3\times13$

$621 =3 \times 3\times 3\times23$

The product of the common prime factors of two numbers is the highest common factor(H.C.F) or greatest common divisor(G.C.D).

The common prime factors in 351 and 621 are $3 \times 3\times 3$.

And their product is 27.

Therefore, the  highest common factor of 351 and 621 is 27.