Greatest Common Factor of 294/624, 4559/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/624, 4559/631

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 294/624,4559/631

Given fractions are 294/624,4559/631

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 294,4559

Greatest Common Factor of Numerators i.e. GCF of 294,4559 is 1 .

LCM of Denominators means LCM of 624,631 as per the given fractions.

LCM of 624,631 is 393744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,4559

GCF of Fractions 294/624,4559/631 is 1/393744

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

Greatest Common Factor of 294,4559 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,4559 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 4559

List of positive integer factors of 4559 that divides 4559 without a remainder.

1,47,97,4559

Greatest Common Factor

We found the factors 294,4559 . The biggest common factor number is the GCF number.
So the greatest common factor 294,4559 is 1.

Lets's calculate LCM of 624,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 393744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393744

Therefore, the GCF of Fractions 294/624,4559/631 is 1/393744

Least Common Multiple of 624,631 with GCF Formula

Least Common Multiple of 624,631 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 624,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,631) = 1

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

GCF(624,631) x common factors =1 x 1 = 1

LCM(624,631) = ( 624 × 631 ) / 1

LCM(624,631) = 393744 / 1

LCM(624,631) = 393744


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 294/624, 4559/631

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 294/624, 4559/631?

Answer: GCF of Numerators as per given numbers 294/624, 4559/631 is

GCF of Numerators i.e. for 294,4559 is 1

LCM of denominators i.e. for 624,631 is 393744.

Thus, GCF of Fractions is 1/393744.Finally, GCF of Fractions for 294/624, 4559/631 is 1/393744.