Greatest Common Factor of 2013/564, 7671/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2013/564, 7671/456

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 2013/564,7671/456

Given fractions are 2013/564,7671/456

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 2013,7671

Greatest Common Factor of Numerators i.e. GCF of 2013,7671 is 3 .

LCM of Denominators means LCM of 564,456 as per the given fractions.

LCM of 564,456 is 21432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2013,7671

GCF of Fractions 2013/564,7671/456 is 3/21432

3 2013, 7671
671, 2557

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

Greatest Common Factor of 2013,7671 By Matching Biggest Common Factor Method

Greatest Common Factor of 2013,7671 By Matching Biggest Common Factor Method

Factors of 2013

List of positive integer factors of 2013 that divides 2013 without a remainder.

1,3,11,33,61,183,671,2013

Factors of 7671

List of positive integer factors of 7671 that divides 7671 without a remainder.

1,3,2557,7671

Greatest Common Factor

We found the factors 2013,7671 . The biggest common factor number is the GCF number.
So the greatest common factor 2013,7671 is 3.

Lets's calculate LCM of 564,456

2 564, 456
2 282, 228
3 141, 114
47, 38

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 38 = 21432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21432

Therefore, the GCF of Fractions 2013/564,7671/456 is 3/21432

Least Common Multiple of 564,456 with GCF Formula

Least Common Multiple of 564,456 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 564,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,456) = 12

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

GCF(564,456) x common factors =12 x 1 = 12

LCM(564,456) = ( 564 × 456 ) / 12

LCM(564,456) = 257184 / 12

LCM(564,456) = 21432


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 2013/564, 7671/456

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 2013/564, 7671/456?

Answer: GCF of Numerators as per given numbers 2013/564, 7671/456 is

GCF of Numerators i.e. for 2013,7671 is 3

LCM of denominators i.e. for 564,456 is 21432.

Thus, GCF of Fractions is 3/21432.Finally, GCF of Fractions for 2013/564, 7671/456 is 3/21432.