Greatest Common Factor of 7715/579, 8125/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7715/579, 8125/505

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 7715/579,8125/505

Given fractions are 7715/579,8125/505

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 7715,8125

Greatest Common Factor of Numerators i.e. GCF of 7715,8125 is 5 .

LCM of Denominators means LCM of 579,505 as per the given fractions.

LCM of 579,505 is 292395 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7715,8125

GCF of Fractions 7715/579,8125/505 is 5/292395

5 7715, 8125
1543, 1625

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

Greatest Common Factor of 7715,8125 By Matching Biggest Common Factor Method

Greatest Common Factor of 7715,8125 By Matching Biggest Common Factor Method

Factors of 7715

List of positive integer factors of 7715 that divides 7715 without a remainder.

1,5,1543,7715

Factors of 8125

List of positive integer factors of 8125 that divides 8125 without a remainder.

1,5,13,25,65,125,325,625,1625,8125

Greatest Common Factor

We found the factors 7715,8125 . The biggest common factor number is the GCF number.
So the greatest common factor 7715,8125 is 5.

Lets's calculate LCM of 579,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 292395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/292395

Therefore, the GCF of Fractions 7715/579,8125/505 is 5/292395

Least Common Multiple of 579,505 with GCF Formula

Least Common Multiple of 579,505 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 579,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,505) = 1

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

GCF(579,505) x common factors =1 x 1 = 1

LCM(579,505) = ( 579 × 505 ) / 1

LCM(579,505) = 292395 / 1

LCM(579,505) = 292395


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 7715/579, 8125/505

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 7715/579, 8125/505?

Answer: GCF of Numerators as per given numbers 7715/579, 8125/505 is

GCF of Numerators i.e. for 7715,8125 is 5

LCM of denominators i.e. for 579,505 is 292395.

Thus, GCF of Fractions is 5/292395.Finally, GCF of Fractions for 7715/579, 8125/505 is 5/292395.