Question

find the
hcf of 48,60​

Answer 1

Step-by-step explanation:

2|4860

2|2430

2|1215

3|65

|13

Answer 2

Answer:

Highest common factor(HCF) of 48 and 60 =  12.

Step-by-step explanation:

HCF of 48 and 60

Prime factors of 48 are 2,3. Prime factorisation of 48 in exponential form is: 48 = 2^4×3^1

Prime factors of 60 are 2,3,5. Prime factorisation of 60 in exponential form is: 60 = 2^2×3^1×5^1

prime factorisation of 48 and 60.

The biggest common factor number is the HCF or GCF or GCD number.

So the greatest common factor or highest common factor of 48 and 60 is 2^2 * 3^1 =  12.

Second method

Factors of 48= 1,2,3,4,6,8,12,16,24,48

Factors of 60 = 1,2,3,4,5,6,10,12,15,20,30,60

The 6 common factors of 48 and 60 are 1, 2, 3, 4, 6, and 12.

Therefore, the HCF of 48 and 60 is 12.