Greatest Common Factor of 572/313, 742/514, 918/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 572/313, 742/514, 918/249

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 572/313,742/514,918/249

Given fractions are 572/313,742/514,918/249

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 572,742,918

Greatest Common Factor of Numerators i.e. GCF of 572,742,918 is 2 .

LCM of Denominators means LCM of 313,514,249 as per the given fractions.

LCM of 313,514,249 is 40059618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 572,742,918

GCF of Fractions 572/313,742/514,918/249 is 2/40059618

2 572, 742, 918
286, 371, 459

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 572,742,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,742,918 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 572,742,918 . The biggest common factor number is the GCF number.
So the greatest common factor 572,742,918 is 2.

Lets's calculate LCM of 313,514,249

Given numbers has no common factors except 1. So, there LCM is their product i.e 40059618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40059618

Therefore, the GCF of Fractions 572/313,742/514,918/249 is 2/40059618

Least Common Multiple of 313,514,249 with GCF Formula

Least Common Multiple of 313,514,249 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 313,514,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,514,249) = 1

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

GCF(313,514,249) x common factors =1 x 1 = 1

LCM(313,514,249) = ( 313 × 514 × 249 ) / 1

LCM(313,514,249) = 40059618 / 1

LCM(313,514,249) = 40059618


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 572/313, 742/514, 918/249

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 572/313, 742/514, 918/249?

Answer: GCF of Numerators as per given numbers 572/313, 742/514, 918/249 is

GCF of Numerators i.e. for 572,742,918 is 2

LCM of denominators i.e. for 313,514,249 is 40059618.

Thus, GCF of Fractions is 2/40059618.Finally, GCF of Fractions for 572/313, 742/514, 918/249 is 2/40059618.