Greatest Common Factor of 8769/26, 5865/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8769/26, 5865/934

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 8769/26,5865/934

Given fractions are 8769/26,5865/934

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 8769,5865

Greatest Common Factor of Numerators i.e. GCF of 8769,5865 is 3 .

LCM of Denominators means LCM of 26,934 as per the given fractions.

LCM of 26,934 is 12142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8769,5865

GCF of Fractions 8769/26,5865/934 is 3/12142

3 8769, 5865
2923, 1955

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

Greatest Common Factor of 8769,5865 By Matching Biggest Common Factor Method

Greatest Common Factor of 8769,5865 By Matching Biggest Common Factor Method

Factors of 8769

List of positive integer factors of 8769 that divides 8769 without a remainder.

1,3,37,79,111,237,2923,8769

Factors of 5865

List of positive integer factors of 5865 that divides 5865 without a remainder.

1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865

Greatest Common Factor

We found the factors 8769,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 8769,5865 is 3.

Lets's calculate LCM of 26,934

2 26, 934
13, 467

∴ So the LCM of the given numbers is 2 x 13 x 467 = 12142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12142

Therefore, the GCF of Fractions 8769/26,5865/934 is 3/12142

Least Common Multiple of 26,934 with GCF Formula

Least Common Multiple of 26,934 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 26,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,934) = 2

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

GCF(26,934) x common factors =2 x 1 = 2

LCM(26,934) = ( 26 × 934 ) / 2

LCM(26,934) = 24284 / 2

LCM(26,934) = 12142


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 8769/26, 5865/934

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 8769/26, 5865/934?

Answer: GCF of Numerators as per given numbers 8769/26, 5865/934 is

GCF of Numerators i.e. for 8769,5865 is 3

LCM of denominators i.e. for 26,934 is 12142.

Thus, GCF of Fractions is 3/12142.Finally, GCF of Fractions for 8769/26, 5865/934 is 3/12142.