Greatest Common Factor of 615/735, 8065/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/735, 8065/521

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 615/735,8065/521

Given fractions are 615/735,8065/521

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 615,8065

Greatest Common Factor of Numerators i.e. GCF of 615,8065 is 5 .

LCM of Denominators means LCM of 735,521 as per the given fractions.

LCM of 735,521 is 382935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,8065

GCF of Fractions 615/735,8065/521 is 5/382935

5 615, 8065
123, 1613

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

Greatest Common Factor of 615,8065 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,8065 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 8065

List of positive integer factors of 8065 that divides 8065 without a remainder.

1,5,1613,8065

Greatest Common Factor

We found the factors 615,8065 . The biggest common factor number is the GCF number.
So the greatest common factor 615,8065 is 5.

Lets's calculate LCM of 735,521

Given numbers has no common factors except 1. So, there LCM is their product i.e 382935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/382935

Therefore, the GCF of Fractions 615/735,8065/521 is 5/382935

Least Common Multiple of 735,521 with GCF Formula

Least Common Multiple of 735,521 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 735,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,521) = 1

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

GCF(735,521) x common factors =1 x 1 = 1

LCM(735,521) = ( 735 × 521 ) / 1

LCM(735,521) = 382935 / 1

LCM(735,521) = 382935


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 615/735, 8065/521

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 615/735, 8065/521?

Answer: GCF of Numerators as per given numbers 615/735, 8065/521 is

GCF of Numerators i.e. for 615,8065 is 5

LCM of denominators i.e. for 735,521 is 382935.

Thus, GCF of Fractions is 5/382935.Finally, GCF of Fractions for 615/735, 8065/521 is 5/382935.