Greatest Common Factor of 6925/76, 5194/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6925/76, 5194/560

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 6925/76,5194/560

Given fractions are 6925/76,5194/560

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 6925,5194

Greatest Common Factor of Numerators i.e. GCF of 6925,5194 is 1 .

LCM of Denominators means LCM of 76,560 as per the given fractions.

LCM of 76,560 is 10640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6925,5194

GCF of Fractions 6925/76,5194/560 is 1/10640

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6925,5194 By Matching Biggest Common Factor Method

Greatest Common Factor of 6925,5194 By Matching Biggest Common Factor Method

Factors of 6925

List of positive integer factors of 6925 that divides 6925 without a remainder.

1,5,25,277,1385,6925

Factors of 5194

List of positive integer factors of 5194 that divides 5194 without a remainder.

1,2,7,14,49,53,98,106,371,742,2597,5194

Greatest Common Factor

We found the factors 6925,5194 . The biggest common factor number is the GCF number.
So the greatest common factor 6925,5194 is 1.

Lets's calculate LCM of 76,560

2 76, 560
2 38, 280
19, 140

∴ So the LCM of the given numbers is 2 x 2 x 19 x 140 = 10640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10640

Therefore, the GCF of Fractions 6925/76,5194/560 is 1/10640

Least Common Multiple of 76,560 with GCF Formula

Least Common Multiple of 76,560 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 76,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,560) = 4

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

GCF(76,560) x common factors =4 x 1 = 4

LCM(76,560) = ( 76 × 560 ) / 4

LCM(76,560) = 42560 / 4

LCM(76,560) = 10640


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 6925/76, 5194/560

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 6925/76, 5194/560?

Answer: GCF of Numerators as per given numbers 6925/76, 5194/560 is

GCF of Numerators i.e. for 6925,5194 is 1

LCM of denominators i.e. for 76,560 is 10640.

Thus, GCF of Fractions is 1/10640.Finally, GCF of Fractions for 6925/76, 5194/560 is 1/10640.