Greatest Common Factor of 6645/20, 2769/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6645/20, 2769/228

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 6645/20,2769/228

Given fractions are 6645/20,2769/228

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 6645,2769

Greatest Common Factor of Numerators i.e. GCF of 6645,2769 is 3 .

LCM of Denominators means LCM of 20,228 as per the given fractions.

LCM of 20,228 is 1140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6645,2769

GCF of Fractions 6645/20,2769/228 is 3/1140

3 6645, 2769
2215, 923

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

Greatest Common Factor of 6645,2769 By Matching Biggest Common Factor Method

Greatest Common Factor of 6645,2769 By Matching Biggest Common Factor Method

Factors of 6645

List of positive integer factors of 6645 that divides 6645 without a remainder.

1,3,5,15,443,1329,2215,6645

Factors of 2769

List of positive integer factors of 2769 that divides 2769 without a remainder.

1,3,13,39,71,213,923,2769

Greatest Common Factor

We found the factors 6645,2769 . The biggest common factor number is the GCF number.
So the greatest common factor 6645,2769 is 3.

Lets's calculate LCM of 20,228

2 20, 228
2 10, 114
5, 57

∴ So the LCM of the given numbers is 2 x 2 x 5 x 57 = 1140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1140

Therefore, the GCF of Fractions 6645/20,2769/228 is 3/1140

Least Common Multiple of 20,228 with GCF Formula

Least Common Multiple of 20,228 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 20,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,228) = 4

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

GCF(20,228) x common factors =4 x 1 = 4

LCM(20,228) = ( 20 × 228 ) / 4

LCM(20,228) = 4560 / 4

LCM(20,228) = 1140


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 6645/20, 2769/228

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 6645/20, 2769/228?

Answer: GCF of Numerators as per given numbers 6645/20, 2769/228 is

GCF of Numerators i.e. for 6645,2769 is 3

LCM of denominators i.e. for 20,228 is 1140.

Thus, GCF of Fractions is 3/1140.Finally, GCF of Fractions for 6645/20, 2769/228 is 3/1140.