Greatest Common Factor of 975/48, 610/79, 646/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 975/48, 610/79, 646/544

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 975/48,610/79,646/544

Given fractions are 975/48,610/79,646/544

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 975,610,646

Greatest Common Factor of Numerators i.e. GCF of 975,610,646 is 1 .

LCM of Denominators means LCM of 48,79,544 as per the given fractions.

LCM of 48,79,544 is 128928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 975,610,646

GCF of Fractions 975/48,610/79,646/544 is 1/128928

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 975,610,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,610,646 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 975,610,646 . The biggest common factor number is the GCF number.
So the greatest common factor 975,610,646 is 1.

Lets's calculate LCM of 48,79,544

2 48, 79, 544
2 24, 79, 272
2 12, 79, 136
2 6, 79, 68
3, 79, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 79 x 34 = 128928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128928

Therefore, the GCF of Fractions 975/48,610/79,646/544 is 1/128928

Least Common Multiple of 48,79,544 with GCF Formula

Least Common Multiple of 48,79,544 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 48,79,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,79,544) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(48,79,544) x common factors =1 x 16 = 16

LCM(48,79,544) = ( 48 × 79 × 544 ) / 16

LCM(48,79,544) = 2062848 / 16

LCM(48,79,544) = 128928


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 975/48, 610/79, 646/544

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 975/48, 610/79, 646/544?

Answer: GCF of Numerators as per given numbers 975/48, 610/79, 646/544 is

GCF of Numerators i.e. for 975,610,646 is 1

LCM of denominators i.e. for 48,79,544 is 128928.

Thus, GCF of Fractions is 1/128928.Finally, GCF of Fractions for 975/48, 610/79, 646/544 is 1/128928.