Greatest Common Factor of 498/27, 724/35, 472/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 498/27, 724/35, 472/500

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 498/27,724/35,472/500

Given fractions are 498/27,724/35,472/500

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 498,724,472

Greatest Common Factor of Numerators i.e. GCF of 498,724,472 is 2 .

LCM of Denominators means LCM of 27,35,500 as per the given fractions.

LCM of 27,35,500 is 94500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 498,724,472

GCF of Fractions 498/27,724/35,472/500 is 2/94500

2 498, 724, 472
249, 362, 236

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

Greatest Common Factor of 498,724,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,724,472 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 498,724,472 . The biggest common factor number is the GCF number.
So the greatest common factor 498,724,472 is 2.

Lets's calculate LCM of 27,35,500

5 27, 35, 500
27, 7, 100

∴ So the LCM of the given numbers is 5 x 27 x 7 x 100 = 94500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94500

Therefore, the GCF of Fractions 498/27,724/35,472/500 is 2/94500

Least Common Multiple of 27,35,500 with GCF Formula

Least Common Multiple of 27,35,500 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 27,35,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,35,500) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(27,35,500) x common factors =1 x 5 = 5

LCM(27,35,500) = ( 27 × 35 × 500 ) / 5

LCM(27,35,500) = 472500 / 5

LCM(27,35,500) = 94500


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 498/27, 724/35, 472/500

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 498/27, 724/35, 472/500?

Answer: GCF of Numerators as per given numbers 498/27, 724/35, 472/500 is

GCF of Numerators i.e. for 498,724,472 is 2

LCM of denominators i.e. for 27,35,500 is 94500.

Thus, GCF of Fractions is 2/94500.Finally, GCF of Fractions for 498/27, 724/35, 472/500 is 2/94500.