Greatest Common Factor of 5103/584, 2238/4500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5103/584, 2238/4500

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 5103/584,2238/4500

Given fractions are 5103/584,2238/4500

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 5103,2238

Greatest Common Factor of Numerators i.e. GCF of 5103,2238 is 3 .

LCM of Denominators means LCM of 584,4500 as per the given fractions.

LCM of 584,4500 is 657000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5103,2238

GCF of Fractions 5103/584,2238/4500 is 3/657000

3 5103, 2238
1701, 746

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

Greatest Common Factor of 5103,2238 By Matching Biggest Common Factor Method

Greatest Common Factor of 5103,2238 By Matching Biggest Common Factor Method

Factors of 5103

List of positive integer factors of 5103 that divides 5103 without a remainder.

1,3,7,9,21,27,63,81,189,243,567,729,1701,5103

Factors of 2238

List of positive integer factors of 2238 that divides 2238 without a remainder.

1,2,3,6,373,746,1119,2238

Greatest Common Factor

We found the factors 5103,2238 . The biggest common factor number is the GCF number.
So the greatest common factor 5103,2238 is 3.

Lets's calculate LCM of 584,4500

2 584, 4500
2 292, 2250
146, 1125

∴ So the LCM of the given numbers is 2 x 2 x 146 x 1125 = 657000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/657000

Therefore, the GCF of Fractions 5103/584,2238/4500 is 3/657000

Least Common Multiple of 584,4500 with GCF Formula

Least Common Multiple of 584,4500 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 584,4500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,4500) = 4

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

GCF(584,4500) x common factors =4 x 1 = 4

LCM(584,4500) = ( 584 × 4500 ) / 4

LCM(584,4500) = 2628000 / 4

LCM(584,4500) = 657000


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 5103/584, 2238/4500

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 5103/584, 2238/4500?

Answer: GCF of Numerators as per given numbers 5103/584, 2238/4500 is

GCF of Numerators i.e. for 5103,2238 is 3

LCM of denominators i.e. for 584,4500 is 657000.

Thus, GCF of Fractions is 3/657000.Finally, GCF of Fractions for 5103/584, 2238/4500 is 3/657000.