Greatest Common Factor of 6963/981, 7680/3180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6963/981, 7680/3180

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 6963/981,7680/3180

Given fractions are 6963/981,7680/3180

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 6963,7680

Greatest Common Factor of Numerators i.e. GCF of 6963,7680 is 3 .

LCM of Denominators means LCM of 981,3180 as per the given fractions.

LCM of 981,3180 is 1039860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6963,7680

GCF of Fractions 6963/981,7680/3180 is 3/1039860

3 6963, 7680
2321, 2560

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6963,7680 By Matching Biggest Common Factor Method

Greatest Common Factor of 6963,7680 By Matching Biggest Common Factor Method

Factors of 6963

List of positive integer factors of 6963 that divides 6963 without a remainder.

1,3,11,33,211,633,2321,6963

Factors of 7680

List of positive integer factors of 7680 that divides 7680 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680

Greatest Common Factor

We found the factors 6963,7680 . The biggest common factor number is the GCF number.
So the greatest common factor 6963,7680 is 3.

Lets's calculate LCM of 981,3180

3 981, 3180
327, 1060

∴ So the LCM of the given numbers is 3 x 327 x 1060 = 1039860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1039860

Therefore, the GCF of Fractions 6963/981,7680/3180 is 3/1039860

Least Common Multiple of 981,3180 with GCF Formula

Least Common Multiple of 981,3180 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 981,3180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,3180) = 3

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

GCF(981,3180) x common factors =3 x 1 = 3

LCM(981,3180) = ( 981 × 3180 ) / 3

LCM(981,3180) = 3119580 / 3

LCM(981,3180) = 1039860


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 6963/981, 7680/3180

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 6963/981, 7680/3180?

Answer: GCF of Numerators as per given numbers 6963/981, 7680/3180 is

GCF of Numerators i.e. for 6963,7680 is 3

LCM of denominators i.e. for 981,3180 is 1039860.

Thus, GCF of Fractions is 3/1039860.Finally, GCF of Fractions for 6963/981, 7680/3180 is 3/1039860.