Greatest Common Factor of 294/294, 5943/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/294, 5943/720

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 294/294,5943/720

Given fractions are 294/294,5943/720

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 294,5943

Greatest Common Factor of Numerators i.e. GCF of 294,5943 is 21 .

LCM of Denominators means LCM of 294,720 as per the given fractions.

LCM of 294,720 is 35280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,5943

GCF of Fractions 294/294,5943/720 is 21/35280

3 294, 5943
7 98, 1981
14, 283

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 294,5943 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,5943 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 5943

List of positive integer factors of 5943 that divides 5943 without a remainder.

1,3,7,21,283,849,1981,5943

Greatest Common Factor

We found the factors 294,5943 . The biggest common factor number is the GCF number.
So the greatest common factor 294,5943 is 21.

Lets's calculate LCM of 294,720

2 294, 720
3 147, 360
49, 120

∴ So the LCM of the given numbers is 2 x 3 x 49 x 120 = 35280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/35280

Therefore, the GCF of Fractions 294/294,5943/720 is 21/35280

Least Common Multiple of 294,720 with GCF Formula

Least Common Multiple of 294,720 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 294,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,720) = 6

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

GCF(294,720) x common factors =6 x 1 = 6

LCM(294,720) = ( 294 × 720 ) / 6

LCM(294,720) = 211680 / 6

LCM(294,720) = 35280


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 294/294, 5943/720

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 294/294, 5943/720?

Answer: GCF of Numerators as per given numbers 294/294, 5943/720 is

GCF of Numerators i.e. for 294,5943 is 21

LCM of denominators i.e. for 294,720 is 35280.

Thus, GCF of Fractions is 21/35280.Finally, GCF of Fractions for 294/294, 5943/720 is 21/35280.