Greatest Common Factor of 378/78, 522/22, 860/59

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 378/78, 522/22, 860/59

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 378/78,522/22,860/59

Given fractions are 378/78,522/22,860/59

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 378,522,860

Greatest Common Factor of Numerators i.e. GCF of 378,522,860 is 2 .

LCM of Denominators means LCM of 78,22,59 as per the given fractions.

LCM of 78,22,59 is 50622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 378,522,860

GCF of Fractions 378/78,522/22,860/59 is 2/50622

2 378, 522, 860
189, 261, 430

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

Greatest Common Factor of 378,522,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,522,860 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 378,522,860 . The biggest common factor number is the GCF number.
So the greatest common factor 378,522,860 is 2.

Lets's calculate LCM of 78,22,59

2 78, 22, 59
39, 11, 59

∴ So the LCM of the given numbers is 2 x 39 x 11 x 59 = 50622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50622

Therefore, the GCF of Fractions 378/78,522/22,860/59 is 2/50622

Least Common Multiple of 78,22,59 with GCF Formula

Least Common Multiple of 78,22,59 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 78,22,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,22,59) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,22,59) x common factors =1 x 2 = 2

LCM(78,22,59) = ( 78 × 22 × 59 ) / 2

LCM(78,22,59) = 101244 / 2

LCM(78,22,59) = 50622


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 378/78, 522/22, 860/59

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 378/78, 522/22, 860/59?

Answer: GCF of Numerators as per given numbers 378/78, 522/22, 860/59 is

GCF of Numerators i.e. for 378,522,860 is 2

LCM of denominators i.e. for 78,22,59 is 50622.

Thus, GCF of Fractions is 2/50622.Finally, GCF of Fractions for 378/78, 522/22, 860/59 is 2/50622.