Question

How to do HCF step by step Explanation.​

Answer 1

Answer:

Meaning of HCF :

HCF means the highest common factor of a number

whether the number is 1254 or 778910 it also has HCF

For example

1) What will be the factors of 14. They will be 7*2, 2*7, 1*14

2) What will be the factors of 9. They will be 3*3, 9*1

For finding HCF we need to remember tables from 1 to 30

I hope this answer is correct & it is helpful to you

Answer 2

$\huge\underline \bold \pink{ᴀɴsᴡᴇʀ}$

There are three methods of finding H.C.F. of two or more numbers.

1. Factorization Method

2. Prime Factorization Method

3. Division Method

$\blue{1) H.C.F. \: by \: factorization \: method}$

Let us consider an example.

Find the H.C.F. of 36 and 45.

Factor of 36 are →

1, 2, 3, 4, 6, 9, 12, 18, 36

Factor of 45 are → 1, 3, 5, 9, 15, 45

1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6

1 × 45, 3 × 15, 5 × 9

$\blue{2)H.C.F. \: by prime \: factorization \: method}$

Let us consider an example.

Find the H.C.F. of 24, 36 and 48.

First we find the prime factors of 24, 36 and 48.

24 = 2 × 2 × 2 × 3

36 = 2 × 2 × 3 × 3

48 = 2 × 2 × 2 × 2 × 3

The common prime factors = 2, 2, 3

H.C.F. = 2 × 2 × 3 = 12