Greatest Common Factor of 768/916, 8440/9612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 768/916, 8440/9612

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 768/916,8440/9612

Given fractions are 768/916,8440/9612

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 768,8440

Greatest Common Factor of Numerators i.e. GCF of 768,8440 is 8 .

LCM of Denominators means LCM of 916,9612 as per the given fractions.

LCM of 916,9612 is 2201148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 768,8440

GCF of Fractions 768/916,8440/9612 is 8/2201148

2 768, 8440
2 384, 4220
2 192, 2110
96, 1055

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 768,8440 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,8440 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 8440

List of positive integer factors of 8440 that divides 8440 without a remainder.

1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440

Greatest Common Factor

We found the factors 768,8440 . The biggest common factor number is the GCF number.
So the greatest common factor 768,8440 is 8.

Lets's calculate LCM of 916,9612

2 916, 9612
2 458, 4806
229, 2403

∴ So the LCM of the given numbers is 2 x 2 x 229 x 2403 = 2201148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2201148

Therefore, the GCF of Fractions 768/916,8440/9612 is 8/2201148

Least Common Multiple of 916,9612 with GCF Formula

Least Common Multiple of 916,9612 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 916,9612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,9612) = 4

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

GCF(916,9612) x common factors =4 x 1 = 4

LCM(916,9612) = ( 916 × 9612 ) / 4

LCM(916,9612) = 8804592 / 4

LCM(916,9612) = 2201148


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 768/916, 8440/9612

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 768/916, 8440/9612?

Answer: GCF of Numerators as per given numbers 768/916, 8440/9612 is

GCF of Numerators i.e. for 768,8440 is 8

LCM of denominators i.e. for 916,9612 is 2201148.

Thus, GCF of Fractions is 8/2201148.Finally, GCF of Fractions for 768/916, 8440/9612 is 8/2201148.