Question

using set theory ,find the HCF of 48 and 84


ICSE class 8 maths​

Answer 1

Answer:

12

Step-by-step explanation:

HCF of 48 and 84

= factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16 and 24

= factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84

Therefore, the HCF of 48 and 84 is 12

Answer 2

Given:

• Two numbers = 48 and 84

To Find:

• HCF of the two numbers.

Solution:

• HCF - Highest Common Factor.
• To find the HCF of the two numbers, first, we should find the factorization of each number.
• Factors are found by finding the LCM of each number.
• Factors of 48:
• 48 = 2*2*2*2*3 = $2^4*3$
• Factors of 84:
• 84 = 2*2*3*7 = $2^2*3*7$
• Now among the two, the highest common factor is the HCF.
• HCF of 48 and 84 = $2^2*3$ = 4*3 = 12

HCF of 48 and 84 is 12.