Greatest Common Factor of 309/73, 112/35, 508/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 309/73, 112/35, 508/132

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 309/73,112/35,508/132

Given fractions are 309/73,112/35,508/132

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 309,112,508

Greatest Common Factor of Numerators i.e. GCF of 309,112,508 is 1 .

LCM of Denominators means LCM of 73,35,132 as per the given fractions.

LCM of 73,35,132 is 337260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 309,112,508

GCF of Fractions 309/73,112/35,508/132 is 1/337260

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

Greatest Common Factor of 309,112,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,112,508 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 309,112,508 . The biggest common factor number is the GCF number.
So the greatest common factor 309,112,508 is 1.

Lets's calculate LCM of 73,35,132

Given numbers has no common factors except 1. So, there LCM is their product i.e 337260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337260

Therefore, the GCF of Fractions 309/73,112/35,508/132 is 1/337260

Least Common Multiple of 73,35,132 with GCF Formula

Least Common Multiple of 73,35,132 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 73,35,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,35,132) = 1

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

GCF(73,35,132) x common factors =1 x 1 = 1

LCM(73,35,132) = ( 73 × 35 × 132 ) / 1

LCM(73,35,132) = 337260 / 1

LCM(73,35,132) = 337260


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 309/73, 112/35, 508/132

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 309/73, 112/35, 508/132?

Answer: GCF of Numerators as per given numbers 309/73, 112/35, 508/132 is

GCF of Numerators i.e. for 309,112,508 is 1

LCM of denominators i.e. for 73,35,132 is 337260.

Thus, GCF of Fractions is 1/337260.Finally, GCF of Fractions for 309/73, 112/35, 508/132 is 1/337260.