Greatest Common Factor of 6939/94, 4563/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6939/94, 4563/335

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 6939/94,4563/335

Given fractions are 6939/94,4563/335

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 6939,4563

Greatest Common Factor of Numerators i.e. GCF of 6939,4563 is 27 .

LCM of Denominators means LCM of 94,335 as per the given fractions.

LCM of 94,335 is 31490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6939,4563

GCF of Fractions 6939/94,4563/335 is 27/31490

3 6939, 4563
3 2313, 1521
3 771, 507
257, 169

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 6939,4563 By Matching Biggest Common Factor Method

Greatest Common Factor of 6939,4563 By Matching Biggest Common Factor Method

Factors of 6939

List of positive integer factors of 6939 that divides 6939 without a remainder.

1,3,9,27,257,771,2313,6939

Factors of 4563

List of positive integer factors of 4563 that divides 4563 without a remainder.

1,3,9,13,27,39,117,169,351,507,1521,4563

Greatest Common Factor

We found the factors 6939,4563 . The biggest common factor number is the GCF number.
So the greatest common factor 6939,4563 is 27.

Lets's calculate LCM of 94,335

Given numbers has no common factors except 1. So, there LCM is their product i.e 31490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/31490

Therefore, the GCF of Fractions 6939/94,4563/335 is 27/31490

Least Common Multiple of 94,335 with GCF Formula

Least Common Multiple of 94,335 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 94,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,335) = 1

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

GCF(94,335) x common factors =1 x 1 = 1

LCM(94,335) = ( 94 × 335 ) / 1

LCM(94,335) = 31490 / 1

LCM(94,335) = 31490


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 6939/94, 4563/335

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 6939/94, 4563/335?

Answer: GCF of Numerators as per given numbers 6939/94, 4563/335 is

GCF of Numerators i.e. for 6939,4563 is 27

LCM of denominators i.e. for 94,335 is 31490.

Thus, GCF of Fractions is 27/31490.Finally, GCF of Fractions for 6939/94, 4563/335 is 27/31490.