Greatest Common Factor of 905/507, 8715/6240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 905/507, 8715/6240

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 905/507,8715/6240

Given fractions are 905/507,8715/6240

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 905,8715

Greatest Common Factor of Numerators i.e. GCF of 905,8715 is 5 .

LCM of Denominators means LCM of 507,6240 as per the given fractions.

LCM of 507,6240 is 81120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 905,8715

GCF of Fractions 905/507,8715/6240 is 5/81120

5 905, 8715
181, 1743

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 905,8715 By Matching Biggest Common Factor Method

Greatest Common Factor of 905,8715 By Matching Biggest Common Factor Method

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 8715

List of positive integer factors of 8715 that divides 8715 without a remainder.

1,3,5,7,15,21,35,83,105,249,415,581,1245,1743,2905,8715

Greatest Common Factor

We found the factors 905,8715 . The biggest common factor number is the GCF number.
So the greatest common factor 905,8715 is 5.

Lets's calculate LCM of 507,6240

3 507, 6240
13 169, 2080
13, 160

∴ So the LCM of the given numbers is 3 x 13 x 13 x 160 = 81120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/81120

Therefore, the GCF of Fractions 905/507,8715/6240 is 5/81120

Least Common Multiple of 507,6240 with GCF Formula

Least Common Multiple of 507,6240 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 507,6240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,6240) = 39

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

GCF(507,6240) x common factors =39 x 1 = 39

LCM(507,6240) = ( 507 × 6240 ) / 39

LCM(507,6240) = 3163680 / 39

LCM(507,6240) = 81120


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 905/507, 8715/6240

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 905/507, 8715/6240?

Answer: GCF of Numerators as per given numbers 905/507, 8715/6240 is

GCF of Numerators i.e. for 905,8715 is 5

LCM of denominators i.e. for 507,6240 is 81120.

Thus, GCF of Fractions is 5/81120.Finally, GCF of Fractions for 905/507, 8715/6240 is 5/81120.