Greatest Common Factor of 6715/404, 6575/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6715/404, 6575/616

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 6715/404,6575/616

Given fractions are 6715/404,6575/616

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 6715,6575

Greatest Common Factor of Numerators i.e. GCF of 6715,6575 is 5 .

LCM of Denominators means LCM of 404,616 as per the given fractions.

LCM of 404,616 is 62216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6715,6575

GCF of Fractions 6715/404,6575/616 is 5/62216

5 6715, 6575
1343, 1315

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

Greatest Common Factor of 6715,6575 By Matching Biggest Common Factor Method

Greatest Common Factor of 6715,6575 By Matching Biggest Common Factor Method

Factors of 6715

List of positive integer factors of 6715 that divides 6715 without a remainder.

1,5,17,79,85,395,1343,6715

Factors of 6575

List of positive integer factors of 6575 that divides 6575 without a remainder.

1,5,25,263,1315,6575

Greatest Common Factor

We found the factors 6715,6575 . The biggest common factor number is the GCF number.
So the greatest common factor 6715,6575 is 5.

Lets's calculate LCM of 404,616

2 404, 616
2 202, 308
101, 154

∴ So the LCM of the given numbers is 2 x 2 x 101 x 154 = 62216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/62216

Therefore, the GCF of Fractions 6715/404,6575/616 is 5/62216

Least Common Multiple of 404,616 with GCF Formula

Least Common Multiple of 404,616 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 404,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,616) = 4

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

GCF(404,616) x common factors =4 x 1 = 4

LCM(404,616) = ( 404 × 616 ) / 4

LCM(404,616) = 248864 / 4

LCM(404,616) = 62216


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 6715/404, 6575/616

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 6715/404, 6575/616?

Answer: GCF of Numerators as per given numbers 6715/404, 6575/616 is

GCF of Numerators i.e. for 6715,6575 is 5

LCM of denominators i.e. for 404,616 is 62216.

Thus, GCF of Fractions is 5/62216.Finally, GCF of Fractions for 6715/404, 6575/616 is 5/62216.