Greatest Common Factor of 6838/27, 1712/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6838/27, 1712/521

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 6838/27,1712/521

Given fractions are 6838/27,1712/521

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 6838,1712

Greatest Common Factor of Numerators i.e. GCF of 6838,1712 is 2 .

LCM of Denominators means LCM of 27,521 as per the given fractions.

LCM of 27,521 is 14067 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6838,1712

GCF of Fractions 6838/27,1712/521 is 2/14067

2 6838, 1712
3419, 856

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

Greatest Common Factor of 6838,1712 By Matching Biggest Common Factor Method

Greatest Common Factor of 6838,1712 By Matching Biggest Common Factor Method

Factors of 6838

List of positive integer factors of 6838 that divides 6838 without a remainder.

1,2,13,26,263,526,3419,6838

Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1,2,4,8,16,107,214,428,856,1712

Greatest Common Factor

We found the factors 6838,1712 . The biggest common factor number is the GCF number.
So the greatest common factor 6838,1712 is 2.

Lets's calculate LCM of 27,521

Given numbers has no common factors except 1. So, there LCM is their product i.e 14067

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14067

Therefore, the GCF of Fractions 6838/27,1712/521 is 2/14067

Least Common Multiple of 27,521 with GCF Formula

Least Common Multiple of 27,521 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 27,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,521) = 1

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

GCF(27,521) x common factors =1 x 1 = 1

LCM(27,521) = ( 27 × 521 ) / 1

LCM(27,521) = 14067 / 1

LCM(27,521) = 14067


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 6838/27, 1712/521

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 6838/27, 1712/521?

Answer: GCF of Numerators as per given numbers 6838/27, 1712/521 is

GCF of Numerators i.e. for 6838,1712 is 2

LCM of denominators i.e. for 27,521 is 14067.

Thus, GCF of Fractions is 2/14067.Finally, GCF of Fractions for 6838/27, 1712/521 is 2/14067.