Greatest Common Factor of 2676/800, 8034/3930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2676/800, 8034/3930

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 2676/800,8034/3930

Given fractions are 2676/800,8034/3930

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 2676,8034

Greatest Common Factor of Numerators i.e. GCF of 2676,8034 is 6 .

LCM of Denominators means LCM of 800,3930 as per the given fractions.

LCM of 800,3930 is 314400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2676,8034

GCF of Fractions 2676/800,8034/3930 is 6/314400

2 2676, 8034
3 1338, 4017
446, 1339

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

Greatest Common Factor of 2676,8034 By Matching Biggest Common Factor Method

Greatest Common Factor of 2676,8034 By Matching Biggest Common Factor Method

Factors of 2676

List of positive integer factors of 2676 that divides 2676 without a remainder.

1,2,3,4,6,12,223,446,669,892,1338,2676

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

Greatest Common Factor

We found the factors 2676,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 2676,8034 is 6.

Lets's calculate LCM of 800,3930

2 800, 3930
5 400, 1965
80, 393

∴ So the LCM of the given numbers is 2 x 5 x 80 x 393 = 314400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/314400

Therefore, the GCF of Fractions 2676/800,8034/3930 is 6/314400

Least Common Multiple of 800,3930 with GCF Formula

Least Common Multiple of 800,3930 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 800,3930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,3930) = 10

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

GCF(800,3930) x common factors =10 x 1 = 10

LCM(800,3930) = ( 800 × 3930 ) / 10

LCM(800,3930) = 3144000 / 10

LCM(800,3930) = 314400


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 2676/800, 8034/3930

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 2676/800, 8034/3930?

Answer: GCF of Numerators as per given numbers 2676/800, 8034/3930 is

GCF of Numerators i.e. for 2676,8034 is 6

LCM of denominators i.e. for 800,3930 is 314400.

Thus, GCF of Fractions is 6/314400.Finally, GCF of Fractions for 2676/800, 8034/3930 is 6/314400.