Greatest Common Factor of 5022/334, 2685/9894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5022/334, 2685/9894

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 5022/334,2685/9894

Given fractions are 5022/334,2685/9894

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 5022,2685

Greatest Common Factor of Numerators i.e. GCF of 5022,2685 is 3 .

LCM of Denominators means LCM of 334,9894 as per the given fractions.

LCM of 334,9894 is 1652298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5022,2685

GCF of Fractions 5022/334,2685/9894 is 3/1652298

3 5022, 2685
1674, 895

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5022,2685 By Matching Biggest Common Factor Method

Greatest Common Factor of 5022,2685 By Matching Biggest Common Factor Method

Factors of 5022

List of positive integer factors of 5022 that divides 5022 without a remainder.

1,2,3,6,9,18,27,31,54,62,81,93,162,186,279,558,837,1674,2511,5022

Factors of 2685

List of positive integer factors of 2685 that divides 2685 without a remainder.

1,3,5,15,179,537,895,2685

Greatest Common Factor

We found the factors 5022,2685 . The biggest common factor number is the GCF number.
So the greatest common factor 5022,2685 is 3.

Lets's calculate LCM of 334,9894

2 334, 9894
167, 4947

∴ So the LCM of the given numbers is 2 x 167 x 4947 = 1652298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1652298

Therefore, the GCF of Fractions 5022/334,2685/9894 is 3/1652298

Least Common Multiple of 334,9894 with GCF Formula

Least Common Multiple of 334,9894 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 334,9894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,9894) = 2

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

GCF(334,9894) x common factors =2 x 1 = 2

LCM(334,9894) = ( 334 × 9894 ) / 2

LCM(334,9894) = 3304596 / 2

LCM(334,9894) = 1652298


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 5022/334, 2685/9894

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 5022/334, 2685/9894?

Answer: GCF of Numerators as per given numbers 5022/334, 2685/9894 is

GCF of Numerators i.e. for 5022,2685 is 3

LCM of denominators i.e. for 334,9894 is 1652298.

Thus, GCF of Fractions is 3/1652298.Finally, GCF of Fractions for 5022/334, 2685/9894 is 3/1652298.