Greatest Common Factor of 2202/594, 8124/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2202/594, 8124/374

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 2202/594,8124/374

Given fractions are 2202/594,8124/374

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 2202,8124

Greatest Common Factor of Numerators i.e. GCF of 2202,8124 is 6 .

LCM of Denominators means LCM of 594,374 as per the given fractions.

LCM of 594,374 is 10098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2202,8124

GCF of Fractions 2202/594,8124/374 is 6/10098

2 2202, 8124
3 1101, 4062
367, 1354

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2202,8124 By Matching Biggest Common Factor Method

Greatest Common Factor of 2202,8124 By Matching Biggest Common Factor Method

Factors of 2202

List of positive integer factors of 2202 that divides 2202 without a remainder.

1,2,3,6,367,734,1101,2202

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Greatest Common Factor

We found the factors 2202,8124 . The biggest common factor number is the GCF number.
So the greatest common factor 2202,8124 is 6.

Lets's calculate LCM of 594,374

2 594, 374
11 297, 187
27, 17

∴ So the LCM of the given numbers is 2 x 11 x 27 x 17 = 10098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10098

Therefore, the GCF of Fractions 2202/594,8124/374 is 6/10098

Least Common Multiple of 594,374 with GCF Formula

Least Common Multiple of 594,374 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 594,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,374) = 22

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

GCF(594,374) x common factors =22 x 1 = 22

LCM(594,374) = ( 594 × 374 ) / 22

LCM(594,374) = 222156 / 22

LCM(594,374) = 10098


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 2202/594, 8124/374

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 2202/594, 8124/374?

Answer: GCF of Numerators as per given numbers 2202/594, 8124/374 is

GCF of Numerators i.e. for 2202,8124 is 6

LCM of denominators i.e. for 594,374 is 10098.

Thus, GCF of Fractions is 6/10098.Finally, GCF of Fractions for 2202/594, 8124/374 is 6/10098.