Greatest Common Factor of 7013/374, 2140/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7013/374, 2140/464

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 7013/374,2140/464

Given fractions are 7013/374,2140/464

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 7013,2140

Greatest Common Factor of Numerators i.e. GCF of 7013,2140 is 1 .

LCM of Denominators means LCM of 374,464 as per the given fractions.

LCM of 374,464 is 86768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7013,2140

GCF of Fractions 7013/374,2140/464 is 1/86768

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

Greatest Common Factor of 7013,2140 By Matching Biggest Common Factor Method

Greatest Common Factor of 7013,2140 By Matching Biggest Common Factor Method

Factors of 7013

List of positive integer factors of 7013 that divides 7013 without a remainder.

1,7013

Factors of 2140

List of positive integer factors of 2140 that divides 2140 without a remainder.

1,2,4,5,10,20,107,214,428,535,1070,2140

Greatest Common Factor

We found the factors 7013,2140 . The biggest common factor number is the GCF number.
So the greatest common factor 7013,2140 is 1.

Lets's calculate LCM of 374,464

2 374, 464
187, 232

∴ So the LCM of the given numbers is 2 x 187 x 232 = 86768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86768

Therefore, the GCF of Fractions 7013/374,2140/464 is 1/86768

Least Common Multiple of 374,464 with GCF Formula

Least Common Multiple of 374,464 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 374,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,464) = 2

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

GCF(374,464) x common factors =2 x 1 = 2

LCM(374,464) = ( 374 × 464 ) / 2

LCM(374,464) = 173536 / 2

LCM(374,464) = 86768


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 7013/374, 2140/464

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 7013/374, 2140/464?

Answer: GCF of Numerators as per given numbers 7013/374, 2140/464 is

GCF of Numerators i.e. for 7013,2140 is 1

LCM of denominators i.e. for 374,464 is 86768.

Thus, GCF of Fractions is 1/86768.Finally, GCF of Fractions for 7013/374, 2140/464 is 1/86768.