Greatest Common Factor of 8267/538, 4389/7836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8267/538, 4389/7836

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 8267/538,4389/7836

Given fractions are 8267/538,4389/7836

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 8267,4389

Greatest Common Factor of Numerators i.e. GCF of 8267,4389 is 7 .

LCM of Denominators means LCM of 538,7836 as per the given fractions.

LCM of 538,7836 is 2107884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8267,4389

GCF of Fractions 8267/538,4389/7836 is 7/2107884

7 8267, 4389
1181, 627

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8267,4389 By Matching Biggest Common Factor Method

Greatest Common Factor of 8267,4389 By Matching Biggest Common Factor Method

Factors of 8267

List of positive integer factors of 8267 that divides 8267 without a remainder.

1,7,1181,8267

Factors of 4389

List of positive integer factors of 4389 that divides 4389 without a remainder.

1,3,7,11,19,21,33,57,77,133,209,231,399,627,1463,4389

Greatest Common Factor

We found the factors 8267,4389 . The biggest common factor number is the GCF number.
So the greatest common factor 8267,4389 is 7.

Lets's calculate LCM of 538,7836

2 538, 7836
269, 3918

∴ So the LCM of the given numbers is 2 x 269 x 3918 = 2107884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2107884

Therefore, the GCF of Fractions 8267/538,4389/7836 is 7/2107884

Least Common Multiple of 538,7836 with GCF Formula

Least Common Multiple of 538,7836 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 538,7836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,7836) = 2

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

GCF(538,7836) x common factors =2 x 1 = 2

LCM(538,7836) = ( 538 × 7836 ) / 2

LCM(538,7836) = 4215768 / 2

LCM(538,7836) = 2107884


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 8267/538, 4389/7836

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 8267/538, 4389/7836?

Answer: GCF of Numerators as per given numbers 8267/538, 4389/7836 is

GCF of Numerators i.e. for 8267,4389 is 7

LCM of denominators i.e. for 538,7836 is 2107884.

Thus, GCF of Fractions is 7/2107884.Finally, GCF of Fractions for 8267/538, 4389/7836 is 7/2107884.