Greatest Common Factor of 6774/442, 3404/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6774/442, 3404/877

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 6774/442,3404/877

Given fractions are 6774/442,3404/877

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 6774,3404

Greatest Common Factor of Numerators i.e. GCF of 6774,3404 is 2 .

LCM of Denominators means LCM of 442,877 as per the given fractions.

LCM of 442,877 is 387634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6774,3404

GCF of Fractions 6774/442,3404/877 is 2/387634

2 6774, 3404
3387, 1702

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

Greatest Common Factor of 6774,3404 By Matching Biggest Common Factor Method

Greatest Common Factor of 6774,3404 By Matching Biggest Common Factor Method

Factors of 6774

List of positive integer factors of 6774 that divides 6774 without a remainder.

1,2,3,6,1129,2258,3387,6774

Factors of 3404

List of positive integer factors of 3404 that divides 3404 without a remainder.

1,2,4,23,37,46,74,92,148,851,1702,3404

Greatest Common Factor

We found the factors 6774,3404 . The biggest common factor number is the GCF number.
So the greatest common factor 6774,3404 is 2.

Lets's calculate LCM of 442,877

Given numbers has no common factors except 1. So, there LCM is their product i.e 387634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/387634

Therefore, the GCF of Fractions 6774/442,3404/877 is 2/387634

Least Common Multiple of 442,877 with GCF Formula

Least Common Multiple of 442,877 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 442,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,877) = 1

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

GCF(442,877) x common factors =1 x 1 = 1

LCM(442,877) = ( 442 × 877 ) / 1

LCM(442,877) = 387634 / 1

LCM(442,877) = 387634


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 6774/442, 3404/877

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 6774/442, 3404/877?

Answer: GCF of Numerators as per given numbers 6774/442, 3404/877 is

GCF of Numerators i.e. for 6774,3404 is 2

LCM of denominators i.e. for 442,877 is 387634.

Thus, GCF of Fractions is 2/387634.Finally, GCF of Fractions for 6774/442, 3404/877 is 2/387634.