Greatest Common Factor of 8103/516, 7167/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8103/516, 7167/783

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 8103/516,7167/783

Given fractions are 8103/516,7167/783

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 8103,7167

Greatest Common Factor of Numerators i.e. GCF of 8103,7167 is 3 .

LCM of Denominators means LCM of 516,783 as per the given fractions.

LCM of 516,783 is 134676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8103,7167

GCF of Fractions 8103/516,7167/783 is 3/134676

3 8103, 7167
2701, 2389

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

Greatest Common Factor of 8103,7167 By Matching Biggest Common Factor Method

Greatest Common Factor of 8103,7167 By Matching Biggest Common Factor Method

Factors of 8103

List of positive integer factors of 8103 that divides 8103 without a remainder.

1,3,37,73,111,219,2701,8103

Factors of 7167

List of positive integer factors of 7167 that divides 7167 without a remainder.

1,3,2389,7167

Greatest Common Factor

We found the factors 8103,7167 . The biggest common factor number is the GCF number.
So the greatest common factor 8103,7167 is 3.

Lets's calculate LCM of 516,783

3 516, 783
172, 261

∴ So the LCM of the given numbers is 3 x 172 x 261 = 134676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/134676

Therefore, the GCF of Fractions 8103/516,7167/783 is 3/134676

Least Common Multiple of 516,783 with GCF Formula

Least Common Multiple of 516,783 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 516,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,783) = 3

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

GCF(516,783) x common factors =3 x 1 = 3

LCM(516,783) = ( 516 × 783 ) / 3

LCM(516,783) = 404028 / 3

LCM(516,783) = 134676


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 8103/516, 7167/783

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 8103/516, 7167/783?

Answer: GCF of Numerators as per given numbers 8103/516, 7167/783 is

GCF of Numerators i.e. for 8103,7167 is 3

LCM of denominators i.e. for 516,783 is 134676.

Thus, GCF of Fractions is 3/134676.Finally, GCF of Fractions for 8103/516, 7167/783 is 3/134676.