Greatest Common Factor of 5090/716, 6177/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5090/716, 6177/203

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 5090/716,6177/203

Given fractions are 5090/716,6177/203

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 5090,6177

Greatest Common Factor of Numerators i.e. GCF of 5090,6177 is 1 .

LCM of Denominators means LCM of 716,203 as per the given fractions.

LCM of 716,203 is 145348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5090,6177

GCF of Fractions 5090/716,6177/203 is 1/145348

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5090,6177 By Matching Biggest Common Factor Method

Greatest Common Factor of 5090,6177 By Matching Biggest Common Factor Method

Factors of 5090

List of positive integer factors of 5090 that divides 5090 without a remainder.

1,2,5,10,509,1018,2545,5090

Factors of 6177

List of positive integer factors of 6177 that divides 6177 without a remainder.

1,3,29,71,87,213,2059,6177

Greatest Common Factor

We found the factors 5090,6177 . The biggest common factor number is the GCF number.
So the greatest common factor 5090,6177 is 1.

Lets's calculate LCM of 716,203

Given numbers has no common factors except 1. So, there LCM is their product i.e 145348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145348

Therefore, the GCF of Fractions 5090/716,6177/203 is 1/145348

Least Common Multiple of 716,203 with GCF Formula

Least Common Multiple of 716,203 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 716,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,203) = 1

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

GCF(716,203) x common factors =1 x 1 = 1

LCM(716,203) = ( 716 × 203 ) / 1

LCM(716,203) = 145348 / 1

LCM(716,203) = 145348


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 5090/716, 6177/203

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 5090/716, 6177/203?

Answer: GCF of Numerators as per given numbers 5090/716, 6177/203 is

GCF of Numerators i.e. for 5090,6177 is 1

LCM of denominators i.e. for 716,203 is 145348.

Thus, GCF of Fractions is 1/145348.Finally, GCF of Fractions for 5090/716, 6177/203 is 1/145348.