Greatest Common Factor of 2022/37, 7494/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2022/37, 7494/920

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 2022/37,7494/920

Given fractions are 2022/37,7494/920

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 2022,7494

Greatest Common Factor of Numerators i.e. GCF of 2022,7494 is 6 .

LCM of Denominators means LCM of 37,920 as per the given fractions.

LCM of 37,920 is 34040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2022,7494

GCF of Fractions 2022/37,7494/920 is 6/34040

2 2022, 7494
3 1011, 3747
337, 1249

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

Greatest Common Factor of 2022,7494 By Matching Biggest Common Factor Method

Greatest Common Factor of 2022,7494 By Matching Biggest Common Factor Method

Factors of 2022

List of positive integer factors of 2022 that divides 2022 without a remainder.

1,2,3,6,337,674,1011,2022

Factors of 7494

List of positive integer factors of 7494 that divides 7494 without a remainder.

1,2,3,6,1249,2498,3747,7494

Greatest Common Factor

We found the factors 2022,7494 . The biggest common factor number is the GCF number.
So the greatest common factor 2022,7494 is 6.

Lets's calculate LCM of 37,920

Given numbers has no common factors except 1. So, there LCM is their product i.e 34040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/34040

Therefore, the GCF of Fractions 2022/37,7494/920 is 6/34040

Least Common Multiple of 37,920 with GCF Formula

Least Common Multiple of 37,920 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 37,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,920) = 1

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

GCF(37,920) x common factors =1 x 1 = 1

LCM(37,920) = ( 37 × 920 ) / 1

LCM(37,920) = 34040 / 1

LCM(37,920) = 34040


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 2022/37, 7494/920

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 2022/37, 7494/920?

Answer: GCF of Numerators as per given numbers 2022/37, 7494/920 is

GCF of Numerators i.e. for 2022,7494 is 6

LCM of denominators i.e. for 37,920 is 34040.

Thus, GCF of Fractions is 6/34040.Finally, GCF of Fractions for 2022/37, 7494/920 is 6/34040.