Greatest Common Factor of 312/34, 507/9329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 312/34, 507/9329

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 312/34,507/9329

Given fractions are 312/34,507/9329

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 312,507

Greatest Common Factor of Numerators i.e. GCF of 312,507 is 39 .

LCM of Denominators means LCM of 34,9329 as per the given fractions.

LCM of 34,9329 is 317186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 312,507

GCF of Fractions 312/34,507/9329 is 39/317186

3 312, 507
13 104, 169
8, 13

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 312,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,507 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 312,507 . The biggest common factor number is the GCF number.
So the greatest common factor 312,507 is 39.

Lets's calculate LCM of 34,9329

Given numbers has no common factors except 1. So, there LCM is their product i.e 317186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/317186

Therefore, the GCF of Fractions 312/34,507/9329 is 39/317186

Least Common Multiple of 34,9329 with GCF Formula

Least Common Multiple of 34,9329 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 34,9329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,9329) = 1

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

GCF(34,9329) x common factors =1 x 1 = 1

LCM(34,9329) = ( 34 × 9329 ) / 1

LCM(34,9329) = 317186 / 1

LCM(34,9329) = 317186


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 312/34, 507/9329

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 312/34, 507/9329?

Answer: GCF of Numerators as per given numbers 312/34, 507/9329 is

GCF of Numerators i.e. for 312,507 is 39

LCM of denominators i.e. for 34,9329 is 317186.

Thus, GCF of Fractions is 39/317186.Finally, GCF of Fractions for 312/34, 507/9329 is 39/317186.