Greatest Common Factor of 8983/960, 7157/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8983/960, 7157/266

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 8983/960,7157/266

Given fractions are 8983/960,7157/266

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 8983,7157

Greatest Common Factor of Numerators i.e. GCF of 8983,7157 is 1 .

LCM of Denominators means LCM of 960,266 as per the given fractions.

LCM of 960,266 is 127680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8983,7157

GCF of Fractions 8983/960,7157/266 is 1/127680

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

Greatest Common Factor of 8983,7157 By Matching Biggest Common Factor Method

Greatest Common Factor of 8983,7157 By Matching Biggest Common Factor Method

Factors of 8983

List of positive integer factors of 8983 that divides 8983 without a remainder.

1,13,691,8983

Factors of 7157

List of positive integer factors of 7157 that divides 7157 without a remainder.

1,17,421,7157

Greatest Common Factor

We found the factors 8983,7157 . The biggest common factor number is the GCF number.
So the greatest common factor 8983,7157 is 1.

Lets's calculate LCM of 960,266

2 960, 266
480, 133

∴ So the LCM of the given numbers is 2 x 480 x 133 = 127680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127680

Therefore, the GCF of Fractions 8983/960,7157/266 is 1/127680

Least Common Multiple of 960,266 with GCF Formula

Least Common Multiple of 960,266 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 960,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,266) = 2

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

GCF(960,266) x common factors =2 x 1 = 2

LCM(960,266) = ( 960 × 266 ) / 2

LCM(960,266) = 255360 / 2

LCM(960,266) = 127680


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 8983/960, 7157/266

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 8983/960, 7157/266?

Answer: GCF of Numerators as per given numbers 8983/960, 7157/266 is

GCF of Numerators i.e. for 8983,7157 is 1

LCM of denominators i.e. for 960,266 is 127680.

Thus, GCF of Fractions is 1/127680.Finally, GCF of Fractions for 8983/960, 7157/266 is 1/127680.