Greatest Common Factor of 976/75, 6096/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 976/75, 6096/260

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 976/75,6096/260

Given fractions are 976/75,6096/260

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 976,6096

Greatest Common Factor of Numerators i.e. GCF of 976,6096 is 16 .

LCM of Denominators means LCM of 75,260 as per the given fractions.

LCM of 75,260 is 3900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 976,6096

GCF of Fractions 976/75,6096/260 is 16/3900

2 976, 6096
2 488, 3048
2 244, 1524
2 122, 762
61, 381

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 976,6096 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,6096 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 6096

List of positive integer factors of 6096 that divides 6096 without a remainder.

1,2,3,4,6,8,12,16,24,48,127,254,381,508,762,1016,1524,2032,3048,6096

Greatest Common Factor

We found the factors 976,6096 . The biggest common factor number is the GCF number.
So the greatest common factor 976,6096 is 16.

Lets's calculate LCM of 75,260

5 75, 260
15, 52

∴ So the LCM of the given numbers is 5 x 15 x 52 = 3900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3900

Therefore, the GCF of Fractions 976/75,6096/260 is 16/3900

Least Common Multiple of 75,260 with GCF Formula

Least Common Multiple of 75,260 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 75,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,260) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(75,260) x common factors =5 x 1 = 5

LCM(75,260) = ( 75 × 260 ) / 5

LCM(75,260) = 19500 / 5

LCM(75,260) = 3900


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 976/75, 6096/260

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 976/75, 6096/260?

Answer: GCF of Numerators as per given numbers 976/75, 6096/260 is

GCF of Numerators i.e. for 976,6096 is 16

LCM of denominators i.e. for 75,260 is 3900.

Thus, GCF of Fractions is 16/3900.Finally, GCF of Fractions for 976/75, 6096/260 is 16/3900.