Greatest Common Factor of 2980/67, 5187/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2980/67, 5187/493

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 2980/67,5187/493

Given fractions are 2980/67,5187/493

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 2980,5187

Greatest Common Factor of Numerators i.e. GCF of 2980,5187 is 1 .

LCM of Denominators means LCM of 67,493 as per the given fractions.

LCM of 67,493 is 33031 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2980,5187

GCF of Fractions 2980/67,5187/493 is 1/33031

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

Greatest Common Factor of 2980,5187 By Matching Biggest Common Factor Method

Greatest Common Factor of 2980,5187 By Matching Biggest Common Factor Method

Factors of 2980

List of positive integer factors of 2980 that divides 2980 without a remainder.

1,2,4,5,10,20,149,298,596,745,1490,2980

Factors of 5187

List of positive integer factors of 5187 that divides 5187 without a remainder.

1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187

Greatest Common Factor

We found the factors 2980,5187 . The biggest common factor number is the GCF number.
So the greatest common factor 2980,5187 is 1.

Lets's calculate LCM of 67,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 33031

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33031

Therefore, the GCF of Fractions 2980/67,5187/493 is 1/33031

Least Common Multiple of 67,493 with GCF Formula

Least Common Multiple of 67,493 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 67,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,493) = 1

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

GCF(67,493) x common factors =1 x 1 = 1

LCM(67,493) = ( 67 × 493 ) / 1

LCM(67,493) = 33031 / 1

LCM(67,493) = 33031


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 2980/67, 5187/493

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 2980/67, 5187/493?

Answer: GCF of Numerators as per given numbers 2980/67, 5187/493 is

GCF of Numerators i.e. for 2980,5187 is 1

LCM of denominators i.e. for 67,493 is 33031.

Thus, GCF of Fractions is 1/33031.Finally, GCF of Fractions for 2980/67, 5187/493 is 1/33031.