Greatest Common Factor of 294/729, 8220/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/729, 8220/510

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 294/729,8220/510

Given fractions are 294/729,8220/510

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 294,8220

Greatest Common Factor of Numerators i.e. GCF of 294,8220 is 6 .

LCM of Denominators means LCM of 729,510 as per the given fractions.

LCM of 729,510 is 123930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,8220

GCF of Fractions 294/729,8220/510 is 6/123930

2 294, 8220
3 147, 4110
49, 1370

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 294,8220 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,8220 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 8220

List of positive integer factors of 8220 that divides 8220 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220

Greatest Common Factor

We found the factors 294,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 294,8220 is 6.

Lets's calculate LCM of 729,510

3 729, 510
243, 170

∴ So the LCM of the given numbers is 3 x 243 x 170 = 123930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/123930

Therefore, the GCF of Fractions 294/729,8220/510 is 6/123930

Least Common Multiple of 729,510 with GCF Formula

Least Common Multiple of 729,510 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 729,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,510) = 3

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

GCF(729,510) x common factors =3 x 1 = 3

LCM(729,510) = ( 729 × 510 ) / 3

LCM(729,510) = 371790 / 3

LCM(729,510) = 123930


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 294/729, 8220/510

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 294/729, 8220/510?

Answer: GCF of Numerators as per given numbers 294/729, 8220/510 is

GCF of Numerators i.e. for 294,8220 is 6

LCM of denominators i.e. for 729,510 is 123930.

Thus, GCF of Fractions is 6/123930.Finally, GCF of Fractions for 294/729, 8220/510 is 6/123930.