Greatest Common Factor of 3003/381, 8234/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3003/381, 8234/541

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 3003/381,8234/541

Given fractions are 3003/381,8234/541

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 3003,8234

Greatest Common Factor of Numerators i.e. GCF of 3003,8234 is 1 .

LCM of Denominators means LCM of 381,541 as per the given fractions.

LCM of 381,541 is 206121 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3003,8234

GCF of Fractions 3003/381,8234/541 is 1/206121

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

Greatest Common Factor of 3003,8234 By Matching Biggest Common Factor Method

Greatest Common Factor of 3003,8234 By Matching Biggest Common Factor Method

Factors of 3003

List of positive integer factors of 3003 that divides 3003 without a remainder.

1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1,2,23,46,179,358,4117,8234

Greatest Common Factor

We found the factors 3003,8234 . The biggest common factor number is the GCF number.
So the greatest common factor 3003,8234 is 1.

Lets's calculate LCM of 381,541

Given numbers has no common factors except 1. So, there LCM is their product i.e 206121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206121

Therefore, the GCF of Fractions 3003/381,8234/541 is 1/206121

Least Common Multiple of 381,541 with GCF Formula

Least Common Multiple of 381,541 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 381,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,541) = 1

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

GCF(381,541) x common factors =1 x 1 = 1

LCM(381,541) = ( 381 × 541 ) / 1

LCM(381,541) = 206121 / 1

LCM(381,541) = 206121


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 3003/381, 8234/541

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 3003/381, 8234/541?

Answer: GCF of Numerators as per given numbers 3003/381, 8234/541 is

GCF of Numerators i.e. for 3003,8234 is 1

LCM of denominators i.e. for 381,541 is 206121.

Thus, GCF of Fractions is 1/206121.Finally, GCF of Fractions for 3003/381, 8234/541 is 1/206121.