Question

find the HCF of 390 and 663 by prime factorization ?

Answer 1

Answer:

39 is  HCF

Step-by-step explanation:

Answer 2

Answer:

The required H.C.F is $39$

Step-by-step explanation:

Concept:

The full form of HCF in Maths is Highest Common Factor.

We employ the subsequent techniques to determine the HCF of numbers using the prime factorization method. Let's use the example below to understand this procedure.

Step 1: is to identify the numbers that have common prime factors.

Step 2: To find the HCF of those numbers, multiply these frequent prime factors.

Given:

Two numbers are $390$ and $663$

To find:

The objective is to find out the H.C.F of the given numbers.

Solution:

The given numbers are $390$ and $663$

The prime factorization of:

$390=2$ × $3$ × $5$ × $13$

$663=3$ × $13$ × $17$

The H.C.F$=3$ × $13$$=39$

Therefore, the H.C.F is $39$.

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