Greatest Common Factor of 4014/564, 8692/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4014/564, 8692/180

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 4014/564,8692/180

Given fractions are 4014/564,8692/180

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 4014,8692

Greatest Common Factor of Numerators i.e. GCF of 4014,8692 is 2 .

LCM of Denominators means LCM of 564,180 as per the given fractions.

LCM of 564,180 is 8460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4014,8692

GCF of Fractions 4014/564,8692/180 is 2/8460

2 4014, 8692
2007, 4346

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4014,8692 By Matching Biggest Common Factor Method

Greatest Common Factor of 4014,8692 By Matching Biggest Common Factor Method

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1,2,3,6,9,18,223,446,669,1338,2007,4014

Factors of 8692

List of positive integer factors of 8692 that divides 8692 without a remainder.

1,2,4,41,53,82,106,164,212,2173,4346,8692

Greatest Common Factor

We found the factors 4014,8692 . The biggest common factor number is the GCF number.
So the greatest common factor 4014,8692 is 2.

Lets's calculate LCM of 564,180

2 564, 180
2 282, 90
3 141, 45
47, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 15 = 8460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8460

Therefore, the GCF of Fractions 4014/564,8692/180 is 2/8460

Least Common Multiple of 564,180 with GCF Formula

Least Common Multiple of 564,180 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 564,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,180) = 12

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

GCF(564,180) x common factors =12 x 1 = 12

LCM(564,180) = ( 564 × 180 ) / 12

LCM(564,180) = 101520 / 12

LCM(564,180) = 8460


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 4014/564, 8692/180

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 4014/564, 8692/180?

Answer: GCF of Numerators as per given numbers 4014/564, 8692/180 is

GCF of Numerators i.e. for 4014,8692 is 2

LCM of denominators i.e. for 564,180 is 8460.

Thus, GCF of Fractions is 2/8460.Finally, GCF of Fractions for 4014/564, 8692/180 is 2/8460.