Greatest Common Factor of 6413/15, 5636/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6413/15, 5636/908

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 6413/15,5636/908

Given fractions are 6413/15,5636/908

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 6413,5636

Greatest Common Factor of Numerators i.e. GCF of 6413,5636 is 1 .

LCM of Denominators means LCM of 15,908 as per the given fractions.

LCM of 15,908 is 13620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6413,5636

GCF of Fractions 6413/15,5636/908 is 1/13620

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6413,5636 By Matching Biggest Common Factor Method

Greatest Common Factor of 6413,5636 By Matching Biggest Common Factor Method

Factors of 6413

List of positive integer factors of 6413 that divides 6413 without a remainder.

1,11,53,121,583,6413

Factors of 5636

List of positive integer factors of 5636 that divides 5636 without a remainder.

1,2,4,1409,2818,5636

Greatest Common Factor

We found the factors 6413,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 6413,5636 is 1.

Lets's calculate LCM of 15,908

Given numbers has no common factors except 1. So, there LCM is their product i.e 13620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13620

Therefore, the GCF of Fractions 6413/15,5636/908 is 1/13620

Least Common Multiple of 15,908 with GCF Formula

Least Common Multiple of 15,908 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 15,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,908) = 1

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

GCF(15,908) x common factors =1 x 1 = 1

LCM(15,908) = ( 15 × 908 ) / 1

LCM(15,908) = 13620 / 1

LCM(15,908) = 13620


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 6413/15, 5636/908

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 6413/15, 5636/908?

Answer: GCF of Numerators as per given numbers 6413/15, 5636/908 is

GCF of Numerators i.e. for 6413,5636 is 1

LCM of denominators i.e. for 15,908 is 13620.

Thus, GCF of Fractions is 1/13620.Finally, GCF of Fractions for 6413/15, 5636/908 is 1/13620.