Greatest Common Factor of 324/903, 114/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 324/903, 114/508

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 324/903,114/508

Given fractions are 324/903,114/508

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 324,114

Greatest Common Factor of Numerators i.e. GCF of 324,114 is 6 .

LCM of Denominators means LCM of 903,508 as per the given fractions.

LCM of 903,508 is 458724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 324,114

GCF of Fractions 324/903,114/508 is 6/458724

2 324, 114
3 162, 57
54, 19

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

Greatest Common Factor of 324,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,114 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 324,114 . The biggest common factor number is the GCF number.
So the greatest common factor 324,114 is 6.

Lets's calculate LCM of 903,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 458724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/458724

Therefore, the GCF of Fractions 324/903,114/508 is 6/458724

Least Common Multiple of 903,508 with GCF Formula

Least Common Multiple of 903,508 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 903,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(903,508) = 1

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

GCF(903,508) x common factors =1 x 1 = 1

LCM(903,508) = ( 903 × 508 ) / 1

LCM(903,508) = 458724 / 1

LCM(903,508) = 458724


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 324/903, 114/508

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 324/903, 114/508?

Answer: GCF of Numerators as per given numbers 324/903, 114/508 is

GCF of Numerators i.e. for 324,114 is 6

LCM of denominators i.e. for 903,508 is 458724.

Thus, GCF of Fractions is 6/458724.Finally, GCF of Fractions for 324/903, 114/508 is 6/458724.