Greatest Common Factor of 5760/987, 7924/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5760/987, 7924/561

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 5760/987,7924/561

Given fractions are 5760/987,7924/561

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 5760,7924

Greatest Common Factor of Numerators i.e. GCF of 5760,7924 is 4 .

LCM of Denominators means LCM of 987,561 as per the given fractions.

LCM of 987,561 is 184569 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5760,7924

GCF of Fractions 5760/987,7924/561 is 4/184569

2 5760, 7924
2 2880, 3962
1440, 1981

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5760,7924 By Matching Biggest Common Factor Method

Greatest Common Factor of 5760,7924 By Matching Biggest Common Factor Method

Factors of 5760

List of positive integer factors of 5760 that divides 5760 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760

Factors of 7924

List of positive integer factors of 7924 that divides 7924 without a remainder.

1,2,4,7,14,28,283,566,1132,1981,3962,7924

Greatest Common Factor

We found the factors 5760,7924 . The biggest common factor number is the GCF number.
So the greatest common factor 5760,7924 is 4.

Lets's calculate LCM of 987,561

3 987, 561
329, 187

∴ So the LCM of the given numbers is 3 x 329 x 187 = 184569

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/184569

Therefore, the GCF of Fractions 5760/987,7924/561 is 4/184569

Least Common Multiple of 987,561 with GCF Formula

Least Common Multiple of 987,561 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 987,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,561) = 3

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

GCF(987,561) x common factors =3 x 1 = 3

LCM(987,561) = ( 987 × 561 ) / 3

LCM(987,561) = 553707 / 3

LCM(987,561) = 184569


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 5760/987, 7924/561

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 5760/987, 7924/561?

Answer: GCF of Numerators as per given numbers 5760/987, 7924/561 is

GCF of Numerators i.e. for 5760,7924 is 4

LCM of denominators i.e. for 987,561 is 184569.

Thus, GCF of Fractions is 4/184569.Finally, GCF of Fractions for 5760/987, 7924/561 is 4/184569.