Greatest Common Factor of 865/116, 916/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 865/116, 916/538

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 865/116,916/538

Given fractions are 865/116,916/538

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 865,916

Greatest Common Factor of Numerators i.e. GCF of 865,916 is 1 .

LCM of Denominators means LCM of 116,538 as per the given fractions.

LCM of 116,538 is 31204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 865,916

GCF of Fractions 865/116,916/538 is 1/31204

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

Greatest Common Factor of 865,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,916 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 865,916 . The biggest common factor number is the GCF number.
So the greatest common factor 865,916 is 1.

Lets's calculate LCM of 116,538

2 116, 538
58, 269

∴ So the LCM of the given numbers is 2 x 58 x 269 = 31204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31204

Therefore, the GCF of Fractions 865/116,916/538 is 1/31204

Least Common Multiple of 116,538 with GCF Formula

Least Common Multiple of 116,538 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 116,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,538) = 2

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

GCF(116,538) x common factors =2 x 1 = 2

LCM(116,538) = ( 116 × 538 ) / 2

LCM(116,538) = 62408 / 2

LCM(116,538) = 31204


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 865/116, 916/538

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 865/116, 916/538?

Answer: GCF of Numerators as per given numbers 865/116, 916/538 is

GCF of Numerators i.e. for 865,916 is 1

LCM of denominators i.e. for 116,538 is 31204.

Thus, GCF of Fractions is 1/31204.Finally, GCF of Fractions for 865/116, 916/538 is 1/31204.