Greatest Common Factor of 8180/303, 4517/9987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8180/303, 4517/9987

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 8180/303,4517/9987

Given fractions are 8180/303,4517/9987

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 8180,4517

Greatest Common Factor of Numerators i.e. GCF of 8180,4517 is 1 .

LCM of Denominators means LCM of 303,9987 as per the given fractions.

LCM of 303,9987 is 1008687 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8180,4517

GCF of Fractions 8180/303,4517/9987 is 1/1008687

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

Greatest Common Factor of 8180,4517 By Matching Biggest Common Factor Method

Greatest Common Factor of 8180,4517 By Matching Biggest Common Factor Method

Factors of 8180

List of positive integer factors of 8180 that divides 8180 without a remainder.

1,2,4,5,10,20,409,818,1636,2045,4090,8180

Factors of 4517

List of positive integer factors of 4517 that divides 4517 without a remainder.

1,4517

Greatest Common Factor

We found the factors 8180,4517 . The biggest common factor number is the GCF number.
So the greatest common factor 8180,4517 is 1.

Lets's calculate LCM of 303,9987

3 303, 9987
101, 3329

∴ So the LCM of the given numbers is 3 x 101 x 3329 = 1008687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1008687

Therefore, the GCF of Fractions 8180/303,4517/9987 is 1/1008687

Least Common Multiple of 303,9987 with GCF Formula

Least Common Multiple of 303,9987 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 303,9987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,9987) = 3

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

GCF(303,9987) x common factors =3 x 1 = 3

LCM(303,9987) = ( 303 × 9987 ) / 3

LCM(303,9987) = 3026061 / 3

LCM(303,9987) = 1008687


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 8180/303, 4517/9987

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 8180/303, 4517/9987?

Answer: GCF of Numerators as per given numbers 8180/303, 4517/9987 is

GCF of Numerators i.e. for 8180,4517 is 1

LCM of denominators i.e. for 303,9987 is 1008687.

Thus, GCF of Fractions is 1/1008687.Finally, GCF of Fractions for 8180/303, 4517/9987 is 1/1008687.