Greatest Common Factor of 8829/71, 2923/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8829/71, 2923/781

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 8829/71,2923/781

Given fractions are 8829/71,2923/781

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 8829,2923

Greatest Common Factor of Numerators i.e. GCF of 8829,2923 is 1 .

LCM of Denominators means LCM of 71,781 as per the given fractions.

LCM of 71,781 is 781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8829,2923

GCF of Fractions 8829/71,2923/781 is 1/781

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

Greatest Common Factor of 8829,2923 By Matching Biggest Common Factor Method

Greatest Common Factor of 8829,2923 By Matching Biggest Common Factor Method

Factors of 8829

List of positive integer factors of 8829 that divides 8829 without a remainder.

1,3,9,27,81,109,327,981,2943,8829

Factors of 2923

List of positive integer factors of 2923 that divides 2923 without a remainder.

1,37,79,2923

Greatest Common Factor

We found the factors 8829,2923 . The biggest common factor number is the GCF number.
So the greatest common factor 8829,2923 is 1.

Lets's calculate LCM of 71,781

71 71, 781
1, 11

∴ So the LCM of the given numbers is 71 x 1 x 11 = 781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/781

Therefore, the GCF of Fractions 8829/71,2923/781 is 1/781

Least Common Multiple of 71,781 with GCF Formula

Least Common Multiple of 71,781 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 71,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,781) = 71

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

GCF(71,781) x common factors =71 x 1 = 71

LCM(71,781) = ( 71 × 781 ) / 71

LCM(71,781) = 55451 / 71

LCM(71,781) = 781


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 8829/71, 2923/781

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 8829/71, 2923/781?

Answer: GCF of Numerators as per given numbers 8829/71, 2923/781 is

GCF of Numerators i.e. for 8829,2923 is 1

LCM of denominators i.e. for 71,781 is 781.

Thus, GCF of Fractions is 1/781.Finally, GCF of Fractions for 8829/71, 2923/781 is 1/781.