Question

Find the HCF and LCM of 28,49,84​

Answer 1

Following are the steps for getting answer :

Given:

the numbers 28,49,84

To find:

HCF and LCM

Solution:

For finding HCF we will factorise

factor of 28=1,2,4,7,28

factor of 49=1, 7,49

factor of 84=1,2,3,4,6,7,12,14,84

the Highest common factor is 7.

HCF(28,49,84) = 7

Now,

For finding LCM , we will use formula

7 28 49 84

4 4 7 12

7 1 7 3

3 1 1 3

1 1

Multiply the divisors to find the lcm of 28, 49 and 84

7 x 4 x 7 x 3 = 588

LCM(28, 49, 84) = 588

thus,HCF=7

LCM=588  

Answer 2

Answer:

$7$

Step-by-step explanation:

• Given numbers: $28,49,84$

• As we know HCF of two or more numbers is nothing but the highest common factor of the given numbers.

• To find the HCF of the given numbers, let us write the factors

• Prime factorization of $28=2\times2\times7$

• Prime factorization of $49=7\times7$

• Prime factorization of $84=2\times2\times3\times7$

• Common factors of $28,49,84=7$

Therefore, HCF of $28,49,84$ is $7$.