Greatest Common Factor of 9876/569, 2626/9279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9876/569, 2626/9279

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 9876/569,2626/9279

Given fractions are 9876/569,2626/9279

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 9876,2626

Greatest Common Factor of Numerators i.e. GCF of 9876,2626 is 2 .

LCM of Denominators means LCM of 569,9279 as per the given fractions.

LCM of 569,9279 is 5279751 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9876,2626

GCF of Fractions 9876/569,2626/9279 is 2/5279751

2 9876, 2626
4938, 1313

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

Greatest Common Factor of 9876,2626 By Matching Biggest Common Factor Method

Greatest Common Factor of 9876,2626 By Matching Biggest Common Factor Method

Factors of 9876

List of positive integer factors of 9876 that divides 9876 without a remainder.

1,2,3,4,6,12,823,1646,2469,3292,4938,9876

Factors of 2626

List of positive integer factors of 2626 that divides 2626 without a remainder.

1,2,13,26,101,202,1313,2626

Greatest Common Factor

We found the factors 9876,2626 . The biggest common factor number is the GCF number.
So the greatest common factor 9876,2626 is 2.

Lets's calculate LCM of 569,9279

Given numbers has no common factors except 1. So, there LCM is their product i.e 5279751

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5279751

Therefore, the GCF of Fractions 9876/569,2626/9279 is 2/5279751

Least Common Multiple of 569,9279 with GCF Formula

Least Common Multiple of 569,9279 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 569,9279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,9279) = 1

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

GCF(569,9279) x common factors =1 x 1 = 1

LCM(569,9279) = ( 569 × 9279 ) / 1

LCM(569,9279) = 5279751 / 1

LCM(569,9279) = 5279751


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 9876/569, 2626/9279

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 9876/569, 2626/9279?

Answer: GCF of Numerators as per given numbers 9876/569, 2626/9279 is

GCF of Numerators i.e. for 9876,2626 is 2

LCM of denominators i.e. for 569,9279 is 5279751.

Thus, GCF of Fractions is 2/5279751.Finally, GCF of Fractions for 9876/569, 2626/9279 is 2/5279751.