Greatest Common Factor of 8178/624, 2678/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8178/624, 2678/756

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 8178/624,2678/756

Given fractions are 8178/624,2678/756

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 8178,2678

Greatest Common Factor of Numerators i.e. GCF of 8178,2678 is 2 .

LCM of Denominators means LCM of 624,756 as per the given fractions.

LCM of 624,756 is 39312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8178,2678

GCF of Fractions 8178/624,2678/756 is 2/39312

2 8178, 2678
4089, 1339

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

Greatest Common Factor of 8178,2678 By Matching Biggest Common Factor Method

Greatest Common Factor of 8178,2678 By Matching Biggest Common Factor Method

Factors of 8178

List of positive integer factors of 8178 that divides 8178 without a remainder.

1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178

Factors of 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1,2,13,26,103,206,1339,2678

Greatest Common Factor

We found the factors 8178,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 8178,2678 is 2.

Lets's calculate LCM of 624,756

2 624, 756
2 312, 378
3 156, 189
52, 63

∴ So the LCM of the given numbers is 2 x 2 x 3 x 52 x 63 = 39312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39312

Therefore, the GCF of Fractions 8178/624,2678/756 is 2/39312

Least Common Multiple of 624,756 with GCF Formula

Least Common Multiple of 624,756 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 624,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,756) = 12

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

GCF(624,756) x common factors =12 x 1 = 12

LCM(624,756) = ( 624 × 756 ) / 12

LCM(624,756) = 471744 / 12

LCM(624,756) = 39312


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 8178/624, 2678/756

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 8178/624, 2678/756?

Answer: GCF of Numerators as per given numbers 8178/624, 2678/756 is

GCF of Numerators i.e. for 8178,2678 is 2

LCM of denominators i.e. for 624,756 is 39312.

Thus, GCF of Fractions is 2/39312.Finally, GCF of Fractions for 8178/624, 2678/756 is 2/39312.