Greatest Common Factor of 294/507, 461/624, 710/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/507, 461/624, 710/330

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 294/507,461/624,710/330

Given fractions are 294/507,461/624,710/330

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 294,461,710

Greatest Common Factor of Numerators i.e. GCF of 294,461,710 is 1 .

LCM of Denominators means LCM of 507,624,330 as per the given fractions.

LCM of 507,624,330 is 446160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,461,710

GCF of Fractions 294/507,461/624,710/330 is 1/446160

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

Greatest Common Factor of 294,461,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,461,710 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 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 294,461,710 . The biggest common factor number is the GCF number.
So the greatest common factor 294,461,710 is 1.

Lets's calculate LCM of 507,624,330

2 507, 624, 330
3 507, 312, 165
13 169, 104, 55
13, 8, 55

∴ So the LCM of the given numbers is 2 x 3 x 13 x 13 x 8 x 55 = 446160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446160

Therefore, the GCF of Fractions 294/507,461/624,710/330 is 1/446160

Least Common Multiple of 507,624,330 with GCF Formula

Least Common Multiple of 507,624,330 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 507,624,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,624,330) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(507,624,330) x common factors =3 x 78 = 234

LCM(507,624,330) = ( 507 × 624 × 330 ) / 234

LCM(507,624,330) = 104401440 / 234

LCM(507,624,330) = 446160


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 294/507, 461/624, 710/330

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 294/507, 461/624, 710/330?

Answer: GCF of Numerators as per given numbers 294/507, 461/624, 710/330 is

GCF of Numerators i.e. for 294,461,710 is 1

LCM of denominators i.e. for 507,624,330 is 446160.

Thus, GCF of Fractions is 1/446160.Finally, GCF of Fractions for 294/507, 461/624, 710/330 is 1/446160.