Greatest Common Factor of 5163/785, 5076/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5163/785, 5076/232

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 5163/785,5076/232

Given fractions are 5163/785,5076/232

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 5163,5076

Greatest Common Factor of Numerators i.e. GCF of 5163,5076 is 3 .

LCM of Denominators means LCM of 785,232 as per the given fractions.

LCM of 785,232 is 182120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5163,5076

GCF of Fractions 5163/785,5076/232 is 3/182120

3 5163, 5076
1721, 1692

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

Greatest Common Factor of 5163,5076 By Matching Biggest Common Factor Method

Greatest Common Factor of 5163,5076 By Matching Biggest Common Factor Method

Factors of 5163

List of positive integer factors of 5163 that divides 5163 without a remainder.

1,3,1721,5163

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076

Greatest Common Factor

We found the factors 5163,5076 . The biggest common factor number is the GCF number.
So the greatest common factor 5163,5076 is 3.

Lets's calculate LCM of 785,232

Given numbers has no common factors except 1. So, there LCM is their product i.e 182120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/182120

Therefore, the GCF of Fractions 5163/785,5076/232 is 3/182120

Least Common Multiple of 785,232 with GCF Formula

Least Common Multiple of 785,232 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 785,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,232) = 1

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

GCF(785,232) x common factors =1 x 1 = 1

LCM(785,232) = ( 785 × 232 ) / 1

LCM(785,232) = 182120 / 1

LCM(785,232) = 182120


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 5163/785, 5076/232

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 5163/785, 5076/232?

Answer: GCF of Numerators as per given numbers 5163/785, 5076/232 is

GCF of Numerators i.e. for 5163,5076 is 3

LCM of denominators i.e. for 785,232 is 182120.

Thus, GCF of Fractions is 3/182120.Finally, GCF of Fractions for 5163/785, 5076/232 is 3/182120.