Question

find the HCF of (432,600)=?​

Answer 1

Answer:

24

Step-by-step explanation:

Find the prime factorization of 432

432 = 2 × 2 × 2 × 2 × 3 × 3 × 3

Find the prime factorization of 600

600 = 2 × 2 × 2 × 3 × 5 × 5

To find the HCF, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 2 × 2 × 3

HCF = 24

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Answer 2

Answer:

The HCF of 432 and 600 is 24.

Step-by-step explanation:

Given: The numbers are 432 and 600.

We have to find the HCF of the above numbers.

• As we know, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
• HCF is also known as the greatest common factor.

We are solving in the following way:

We have,

The numbers are 432 and 600.

First, we will find the factors of the above numbers.

The factors of 432 are: $1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432$

The factors of 600 are: $1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, \\200, 300, 600$

 From the above, we can see that 24 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 24.