Greatest Common Factor of 8084/194, 8900/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8084/194, 8900/404

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 8084/194,8900/404

Given fractions are 8084/194,8900/404

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 8084,8900

Greatest Common Factor of Numerators i.e. GCF of 8084,8900 is 4 .

LCM of Denominators means LCM of 194,404 as per the given fractions.

LCM of 194,404 is 39188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8084,8900

GCF of Fractions 8084/194,8900/404 is 4/39188

2 8084, 8900
2 4042, 4450
2021, 2225

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8084,8900 By Matching Biggest Common Factor Method

Greatest Common Factor of 8084,8900 By Matching Biggest Common Factor Method

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1,2,4,43,47,86,94,172,188,2021,4042,8084

Factors of 8900

List of positive integer factors of 8900 that divides 8900 without a remainder.

1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900

Greatest Common Factor

We found the factors 8084,8900 . The biggest common factor number is the GCF number.
So the greatest common factor 8084,8900 is 4.

Lets's calculate LCM of 194,404

2 194, 404
97, 202

∴ So the LCM of the given numbers is 2 x 97 x 202 = 39188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/39188

Therefore, the GCF of Fractions 8084/194,8900/404 is 4/39188

Least Common Multiple of 194,404 with GCF Formula

Least Common Multiple of 194,404 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 194,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,404) = 2

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

GCF(194,404) x common factors =2 x 1 = 2

LCM(194,404) = ( 194 × 404 ) / 2

LCM(194,404) = 78376 / 2

LCM(194,404) = 39188


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 8084/194, 8900/404

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 8084/194, 8900/404?

Answer: GCF of Numerators as per given numbers 8084/194, 8900/404 is

GCF of Numerators i.e. for 8084,8900 is 4

LCM of denominators i.e. for 194,404 is 39188.

Thus, GCF of Fractions is 4/39188.Finally, GCF of Fractions for 8084/194, 8900/404 is 4/39188.