Greatest Common Factor of 8131/804, 3617/9557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8131/804, 3617/9557

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 8131/804,3617/9557

Given fractions are 8131/804,3617/9557

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 8131,3617

Greatest Common Factor of Numerators i.e. GCF of 8131,3617 is 1 .

LCM of Denominators means LCM of 804,9557 as per the given fractions.

LCM of 804,9557 is 7683828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8131,3617

GCF of Fractions 8131/804,3617/9557 is 1/7683828

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

Greatest Common Factor of 8131,3617 By Matching Biggest Common Factor Method

Greatest Common Factor of 8131,3617 By Matching Biggest Common Factor Method

Factors of 8131

List of positive integer factors of 8131 that divides 8131 without a remainder.

1,47,173,8131

Factors of 3617

List of positive integer factors of 3617 that divides 3617 without a remainder.

1,3617

Greatest Common Factor

We found the factors 8131,3617 . The biggest common factor number is the GCF number.
So the greatest common factor 8131,3617 is 1.

Lets's calculate LCM of 804,9557

Given numbers has no common factors except 1. So, there LCM is their product i.e 7683828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7683828

Therefore, the GCF of Fractions 8131/804,3617/9557 is 1/7683828

Least Common Multiple of 804,9557 with GCF Formula

Least Common Multiple of 804,9557 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 804,9557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,9557) = 1

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

GCF(804,9557) x common factors =1 x 1 = 1

LCM(804,9557) = ( 804 × 9557 ) / 1

LCM(804,9557) = 7683828 / 1

LCM(804,9557) = 7683828


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 8131/804, 3617/9557

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 8131/804, 3617/9557?

Answer: GCF of Numerators as per given numbers 8131/804, 3617/9557 is

GCF of Numerators i.e. for 8131,3617 is 1

LCM of denominators i.e. for 804,9557 is 7683828.

Thus, GCF of Fractions is 1/7683828.Finally, GCF of Fractions for 8131/804, 3617/9557 is 1/7683828.