Greatest Common Factor of 2638/270, 3013/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2638/270, 3013/668

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 2638/270,3013/668

Given fractions are 2638/270,3013/668

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 2638,3013

Greatest Common Factor of Numerators i.e. GCF of 2638,3013 is 1 .

LCM of Denominators means LCM of 270,668 as per the given fractions.

LCM of 270,668 is 90180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2638,3013

GCF of Fractions 2638/270,3013/668 is 1/90180

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

Greatest Common Factor of 2638,3013 By Matching Biggest Common Factor Method

Greatest Common Factor of 2638,3013 By Matching Biggest Common Factor Method

Factors of 2638

List of positive integer factors of 2638 that divides 2638 without a remainder.

1,2,1319,2638

Factors of 3013

List of positive integer factors of 3013 that divides 3013 without a remainder.

1,23,131,3013

Greatest Common Factor

We found the factors 2638,3013 . The biggest common factor number is the GCF number.
So the greatest common factor 2638,3013 is 1.

Lets's calculate LCM of 270,668

2 270, 668
135, 334

∴ So the LCM of the given numbers is 2 x 135 x 334 = 90180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90180

Therefore, the GCF of Fractions 2638/270,3013/668 is 1/90180

Least Common Multiple of 270,668 with GCF Formula

Least Common Multiple of 270,668 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 270,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,668) = 2

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

GCF(270,668) x common factors =2 x 1 = 2

LCM(270,668) = ( 270 × 668 ) / 2

LCM(270,668) = 180360 / 2

LCM(270,668) = 90180


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 2638/270, 3013/668

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 2638/270, 3013/668?

Answer: GCF of Numerators as per given numbers 2638/270, 3013/668 is

GCF of Numerators i.e. for 2638,3013 is 1

LCM of denominators i.e. for 270,668 is 90180.

Thus, GCF of Fractions is 1/90180.Finally, GCF of Fractions for 2638/270, 3013/668 is 1/90180.