Greatest Common Factor of 2018/218, 6564/9142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2018/218, 6564/9142

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 2018/218,6564/9142

Given fractions are 2018/218,6564/9142

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 2018,6564

Greatest Common Factor of Numerators i.e. GCF of 2018,6564 is 2 .

LCM of Denominators means LCM of 218,9142 as per the given fractions.

LCM of 218,9142 is 996478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2018,6564

GCF of Fractions 2018/218,6564/9142 is 2/996478

2 2018, 6564
1009, 3282

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

Greatest Common Factor of 2018,6564 By Matching Biggest Common Factor Method

Greatest Common Factor of 2018,6564 By Matching Biggest Common Factor Method

Factors of 2018

List of positive integer factors of 2018 that divides 2018 without a remainder.

1,2,1009,2018

Factors of 6564

List of positive integer factors of 6564 that divides 6564 without a remainder.

1,2,3,4,6,12,547,1094,1641,2188,3282,6564

Greatest Common Factor

We found the factors 2018,6564 . The biggest common factor number is the GCF number.
So the greatest common factor 2018,6564 is 2.

Lets's calculate LCM of 218,9142

2 218, 9142
109, 4571

∴ So the LCM of the given numbers is 2 x 109 x 4571 = 996478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/996478

Therefore, the GCF of Fractions 2018/218,6564/9142 is 2/996478

Least Common Multiple of 218,9142 with GCF Formula

Least Common Multiple of 218,9142 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 218,9142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,9142) = 2

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

GCF(218,9142) x common factors =2 x 1 = 2

LCM(218,9142) = ( 218 × 9142 ) / 2

LCM(218,9142) = 1992956 / 2

LCM(218,9142) = 996478


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 2018/218, 6564/9142

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 2018/218, 6564/9142?

Answer: GCF of Numerators as per given numbers 2018/218, 6564/9142 is

GCF of Numerators i.e. for 2018,6564 is 2

LCM of denominators i.e. for 218,9142 is 996478.

Thus, GCF of Fractions is 2/996478.Finally, GCF of Fractions for 2018/218, 6564/9142 is 2/996478.