Greatest Common Factor of 4254/434, 7893/6022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4254/434, 7893/6022

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 4254/434,7893/6022

Given fractions are 4254/434,7893/6022

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 4254,7893

Greatest Common Factor of Numerators i.e. GCF of 4254,7893 is 3 .

LCM of Denominators means LCM of 434,6022 as per the given fractions.

LCM of 434,6022 is 1306774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4254,7893

GCF of Fractions 4254/434,7893/6022 is 3/1306774

3 4254, 7893
1418, 2631

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

Greatest Common Factor of 4254,7893 By Matching Biggest Common Factor Method

Greatest Common Factor of 4254,7893 By Matching Biggest Common Factor Method

Factors of 4254

List of positive integer factors of 4254 that divides 4254 without a remainder.

1,2,3,6,709,1418,2127,4254

Factors of 7893

List of positive integer factors of 7893 that divides 7893 without a remainder.

1,3,9,877,2631,7893

Greatest Common Factor

We found the factors 4254,7893 . The biggest common factor number is the GCF number.
So the greatest common factor 4254,7893 is 3.

Lets's calculate LCM of 434,6022

2 434, 6022
217, 3011

∴ So the LCM of the given numbers is 2 x 217 x 3011 = 1306774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1306774

Therefore, the GCF of Fractions 4254/434,7893/6022 is 3/1306774

Least Common Multiple of 434,6022 with GCF Formula

Least Common Multiple of 434,6022 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 434,6022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,6022) = 2

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

GCF(434,6022) x common factors =2 x 1 = 2

LCM(434,6022) = ( 434 × 6022 ) / 2

LCM(434,6022) = 2613548 / 2

LCM(434,6022) = 1306774


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 4254/434, 7893/6022

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 4254/434, 7893/6022?

Answer: GCF of Numerators as per given numbers 4254/434, 7893/6022 is

GCF of Numerators i.e. for 4254,7893 is 3

LCM of denominators i.e. for 434,6022 is 1306774.

Thus, GCF of Fractions is 3/1306774.Finally, GCF of Fractions for 4254/434, 7893/6022 is 3/1306774.