Greatest Common Factor of 507/364, 4615/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 507/364, 4615/720

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 507/364,4615/720

Given fractions are 507/364,4615/720

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 507,4615

Greatest Common Factor of Numerators i.e. GCF of 507,4615 is 13 .

LCM of Denominators means LCM of 364,720 as per the given fractions.

LCM of 364,720 is 65520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 507,4615

GCF of Fractions 507/364,4615/720 is 13/65520

13 507, 4615
39, 355

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 507,4615 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,4615 By Matching Biggest Common Factor Method

Factors of 507

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

1,3,13,39,169,507

Factors of 4615

List of positive integer factors of 4615 that divides 4615 without a remainder.

1,5,13,65,71,355,923,4615

Greatest Common Factor

We found the factors 507,4615 . The biggest common factor number is the GCF number.
So the greatest common factor 507,4615 is 13.

Lets's calculate LCM of 364,720

2 364, 720
2 182, 360
91, 180

∴ So the LCM of the given numbers is 2 x 2 x 91 x 180 = 65520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/65520

Therefore, the GCF of Fractions 507/364,4615/720 is 13/65520

Least Common Multiple of 364,720 with GCF Formula

Least Common Multiple of 364,720 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 364,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,720) = 4

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

GCF(364,720) x common factors =4 x 1 = 4

LCM(364,720) = ( 364 × 720 ) / 4

LCM(364,720) = 262080 / 4

LCM(364,720) = 65520


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 507/364, 4615/720

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 507/364, 4615/720?

Answer: GCF of Numerators as per given numbers 507/364, 4615/720 is

GCF of Numerators i.e. for 507,4615 is 13

LCM of denominators i.e. for 364,720 is 65520.

Thus, GCF of Fractions is 13/65520.Finally, GCF of Fractions for 507/364, 4615/720 is 13/65520.