Greatest Common Factor of 678/976, 102/180, 760/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 678/976, 102/180, 760/223

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 678/976,102/180,760/223

Given fractions are 678/976,102/180,760/223

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 678,102,760

Greatest Common Factor of Numerators i.e. GCF of 678,102,760 is 2 .

LCM of Denominators means LCM of 976,180,223 as per the given fractions.

LCM of 976,180,223 is 9794160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 678,102,760

GCF of Fractions 678/976,102/180,760/223 is 2/9794160

2 678, 102, 760
339, 51, 380

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

Greatest Common Factor of 678,102,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,102,760 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 678,102,760 . The biggest common factor number is the GCF number.
So the greatest common factor 678,102,760 is 2.

Lets's calculate LCM of 976,180,223

2 976, 180, 223
2 488, 90, 223
244, 45, 223

∴ So the LCM of the given numbers is 2 x 2 x 244 x 45 x 223 = 9794160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9794160

Therefore, the GCF of Fractions 678/976,102/180,760/223 is 2/9794160

Least Common Multiple of 976,180,223 with GCF Formula

Least Common Multiple of 976,180,223 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 976,180,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,180,223) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(976,180,223) x common factors =1 x 4 = 4

LCM(976,180,223) = ( 976 × 180 × 223 ) / 4

LCM(976,180,223) = 39176640 / 4

LCM(976,180,223) = 9794160


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 678/976, 102/180, 760/223

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 678/976, 102/180, 760/223?

Answer: GCF of Numerators as per given numbers 678/976, 102/180, 760/223 is

GCF of Numerators i.e. for 678,102,760 is 2

LCM of denominators i.e. for 976,180,223 is 9794160.

Thus, GCF of Fractions is 2/9794160.Finally, GCF of Fractions for 678/976, 102/180, 760/223 is 2/9794160.