Question

Hcf of 3/16, 5/12, 7/8

Answer 1

Answer:

1/48

Step-by-step explanation:

Way of doing this kind of question is: Take HCF of all the numerators and LCM of all denominators and present the same in fraction form respectively.

here HCF of a the numerators is 1 as all the digits are prime.

And LCM of all denominators is 48.

So finally your answer is 1/48

Answer 2

Given:

3/16, 5/12, 7/8

To Find:

Find the HCF

Solution:

HCF stands for Highest Common Factor, as we know that the HCF of numbers can be found by long division method or by factorizing the numbers,

But for the HCF of a fraction, a different formula is used that is as follows,

$HCF=\frac{HCF of Numerators}{LCM of Denominators}$

So to find the HCF of 3/16, 5/12, 7/8, we will need to find the HCF of 3,5,7 and the LCM of 16,12,8

HCF of 3,5,7 will be 1 as there is no common factor other than 1.

Now the LCM of 16,12,8 can be found by using the factorization method, factorizing the numbers we have,

16=2*2*2*2

12=2*2*3

8=2*2*2

So the LCM=2*2*2*2*3

                   =48

So the HCF of 3/16, 5/12, 7/8 will be,

$HCF=\frac{HCF}{LCM} \\=\frac{1}{48}$

Hence, the HCF of  3/16, 5/12, 7/8 is 1/48.