Greatest Common Factor of 680/294, 7745/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 680/294, 7745/478

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 680/294,7745/478

Given fractions are 680/294,7745/478

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 680,7745

Greatest Common Factor of Numerators i.e. GCF of 680,7745 is 5 .

LCM of Denominators means LCM of 294,478 as per the given fractions.

LCM of 294,478 is 70266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 680,7745

GCF of Fractions 680/294,7745/478 is 5/70266

5 680, 7745
136, 1549

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 680,7745 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,7745 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 7745

List of positive integer factors of 7745 that divides 7745 without a remainder.

1,5,1549,7745

Greatest Common Factor

We found the factors 680,7745 . The biggest common factor number is the GCF number.
So the greatest common factor 680,7745 is 5.

Lets's calculate LCM of 294,478

2 294, 478
147, 239

∴ So the LCM of the given numbers is 2 x 147 x 239 = 70266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/70266

Therefore, the GCF of Fractions 680/294,7745/478 is 5/70266

Least Common Multiple of 294,478 with GCF Formula

Least Common Multiple of 294,478 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 294,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,478) = 2

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

GCF(294,478) x common factors =2 x 1 = 2

LCM(294,478) = ( 294 × 478 ) / 2

LCM(294,478) = 140532 / 2

LCM(294,478) = 70266


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 680/294, 7745/478

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 680/294, 7745/478?

Answer: GCF of Numerators as per given numbers 680/294, 7745/478 is

GCF of Numerators i.e. for 680,7745 is 5

LCM of denominators i.e. for 294,478 is 70266.

Thus, GCF of Fractions is 5/70266.Finally, GCF of Fractions for 680/294, 7745/478 is 5/70266.