Greatest Common Factor of 5054/304, 6745/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5054/304, 6745/927

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 5054/304,6745/927

Given fractions are 5054/304,6745/927

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 5054,6745

Greatest Common Factor of Numerators i.e. GCF of 5054,6745 is 19 .

LCM of Denominators means LCM of 304,927 as per the given fractions.

LCM of 304,927 is 281808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5054,6745

GCF of Fractions 5054/304,6745/927 is 19/281808

19 5054, 6745
266, 355

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 5054,6745 By Matching Biggest Common Factor Method

Greatest Common Factor of 5054,6745 By Matching Biggest Common Factor Method

Factors of 5054

List of positive integer factors of 5054 that divides 5054 without a remainder.

1,2,7,14,19,38,133,266,361,722,2527,5054

Factors of 6745

List of positive integer factors of 6745 that divides 6745 without a remainder.

1,5,19,71,95,355,1349,6745

Greatest Common Factor

We found the factors 5054,6745 . The biggest common factor number is the GCF number.
So the greatest common factor 5054,6745 is 19.

Lets's calculate LCM of 304,927

Given numbers has no common factors except 1. So, there LCM is their product i.e 281808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/281808

Therefore, the GCF of Fractions 5054/304,6745/927 is 19/281808

Least Common Multiple of 304,927 with GCF Formula

Least Common Multiple of 304,927 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 304,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,927) = 1

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

GCF(304,927) x common factors =1 x 1 = 1

LCM(304,927) = ( 304 × 927 ) / 1

LCM(304,927) = 281808 / 1

LCM(304,927) = 281808


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 5054/304, 6745/927

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 5054/304, 6745/927?

Answer: GCF of Numerators as per given numbers 5054/304, 6745/927 is

GCF of Numerators i.e. for 5054,6745 is 19

LCM of denominators i.e. for 304,927 is 281808.

Thus, GCF of Fractions is 19/281808.Finally, GCF of Fractions for 5054/304, 6745/927 is 19/281808.