Greatest Common Factor of 8982/304, 4913/4543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8982/304, 4913/4543

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 8982/304,4913/4543

Given fractions are 8982/304,4913/4543

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 8982,4913

Greatest Common Factor of Numerators i.e. GCF of 8982,4913 is 1 .

LCM of Denominators means LCM of 304,4543 as per the given fractions.

LCM of 304,4543 is 1381072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8982,4913

GCF of Fractions 8982/304,4913/4543 is 1/1381072

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

Greatest Common Factor of 8982,4913 By Matching Biggest Common Factor Method

Greatest Common Factor of 8982,4913 By Matching Biggest Common Factor Method

Factors of 8982

List of positive integer factors of 8982 that divides 8982 without a remainder.

1,2,3,6,9,18,499,998,1497,2994,4491,8982

Factors of 4913

List of positive integer factors of 4913 that divides 4913 without a remainder.

1,17,289,4913

Greatest Common Factor

We found the factors 8982,4913 . The biggest common factor number is the GCF number.
So the greatest common factor 8982,4913 is 1.

Lets's calculate LCM of 304,4543

Given numbers has no common factors except 1. So, there LCM is their product i.e 1381072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1381072

Therefore, the GCF of Fractions 8982/304,4913/4543 is 1/1381072

Least Common Multiple of 304,4543 with GCF Formula

Least Common Multiple of 304,4543 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 304,4543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,4543) = 1

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

GCF(304,4543) x common factors =1 x 1 = 1

LCM(304,4543) = ( 304 × 4543 ) / 1

LCM(304,4543) = 1381072 / 1

LCM(304,4543) = 1381072


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 8982/304, 4913/4543

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 8982/304, 4913/4543?

Answer: GCF of Numerators as per given numbers 8982/304, 4913/4543 is

GCF of Numerators i.e. for 8982,4913 is 1

LCM of denominators i.e. for 304,4543 is 1381072.

Thus, GCF of Fractions is 1/1381072.Finally, GCF of Fractions for 8982/304, 4913/4543 is 1/1381072.