Greatest Common Factor of 7122/789, 2478/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7122/789, 2478/645

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 7122/789,2478/645

Given fractions are 7122/789,2478/645

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 7122,2478

Greatest Common Factor of Numerators i.e. GCF of 7122,2478 is 6 .

LCM of Denominators means LCM of 789,645 as per the given fractions.

LCM of 789,645 is 169635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7122,2478

GCF of Fractions 7122/789,2478/645 is 6/169635

2 7122, 2478
3 3561, 1239
1187, 413

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7122,2478 By Matching Biggest Common Factor Method

Greatest Common Factor of 7122,2478 By Matching Biggest Common Factor Method

Factors of 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1,2,3,6,1187,2374,3561,7122

Factors of 2478

List of positive integer factors of 2478 that divides 2478 without a remainder.

1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478

Greatest Common Factor

We found the factors 7122,2478 . The biggest common factor number is the GCF number.
So the greatest common factor 7122,2478 is 6.

Lets's calculate LCM of 789,645

3 789, 645
263, 215

∴ So the LCM of the given numbers is 3 x 263 x 215 = 169635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/169635

Therefore, the GCF of Fractions 7122/789,2478/645 is 6/169635

Least Common Multiple of 789,645 with GCF Formula

Least Common Multiple of 789,645 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 789,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,645) = 3

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

GCF(789,645) x common factors =3 x 1 = 3

LCM(789,645) = ( 789 × 645 ) / 3

LCM(789,645) = 508905 / 3

LCM(789,645) = 169635


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7122/789, 2478/645

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 7122/789, 2478/645?

Answer: GCF of Numerators as per given numbers 7122/789, 2478/645 is

GCF of Numerators i.e. for 7122,2478 is 6

LCM of denominators i.e. for 789,645 is 169635.

Thus, GCF of Fractions is 6/169635.Finally, GCF of Fractions for 7122/789, 2478/645 is 6/169635.