Question

Hcf of 15,25,30
Hcf of 24,36 Hcf of 8,12

Answer 1

Answer:

1.HCF of 15,25,30

5 l 15,25,30

3 l 3,5,6

2 l 1,5,2

5 l 1,5,1

l 1,1,1

HCF--1

LCM-- 5x3x2x5=150

2. HCF of 24,36

2 l 24,36

2 l 12,18

2 l 6,9

3 l 2,3

3 l 2,1

2 l 1,1

HCF-1

LCM-- 172

3.HCF of 8,12

2 l 8,12

2 l 4,6

2 l 2,3

2 l 1,3

3 l 1,1

HCF- 1

LCM-- 48

Answer 2

Given: The numbers are$15,25,30\ and\ 24,36\ and\ 8,12$.

We have to find the HCF of the above numbers.

As we know that the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are solving in the following way:

a) The HCF of the numbers$15,25,30$ will be:

The factors of $15$are: $1, 3, 5, 15$

The factors of $25$are: $1, 5, 25$

The factors of $30$are: $1, 2, 3, 5, 6, 10, 15, 30$

From the above concept, we can see that,

The greatest common factor is $5$.

b) The HCF of the numbers$24, 36$ will be:

The factors of $24$are: $1, 2, 3, 4, 6, 8, 12, 24$

The factors of $36$are:$1, 2, 3, 4, 6, 9, 12, 18, 36$

From the above concept, we can see that,

The greatest common factor is$12$.

c) The HCF of the numbers$8,12$ will be:

The factors of $8$are: $1, 2, 4, 8$

The factors of $12$are: $1, 2, 3, 4, 6, 12$

From the above concept, we can see that,

The greatest common factor is$4$.

Hence, we get,

a) The HCF of the numbers$15,25,30$ is$5$.

b) The HCF of the numbers$24, 36$ is$12$.

c) The HCF of the numbers$8,12$ is$4$.