Greatest Common Factor of 2242/978, 4942/8020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2242/978, 4942/8020

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 2242/978,4942/8020

Given fractions are 2242/978,4942/8020

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 2242,4942

Greatest Common Factor of Numerators i.e. GCF of 2242,4942 is 2 .

LCM of Denominators means LCM of 978,8020 as per the given fractions.

LCM of 978,8020 is 3921780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2242,4942

GCF of Fractions 2242/978,4942/8020 is 2/3921780

2 2242, 4942
1121, 2471

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

Greatest Common Factor of 2242,4942 By Matching Biggest Common Factor Method

Greatest Common Factor of 2242,4942 By Matching Biggest Common Factor Method

Factors of 2242

List of positive integer factors of 2242 that divides 2242 without a remainder.

1,2,19,38,59,118,1121,2242

Factors of 4942

List of positive integer factors of 4942 that divides 4942 without a remainder.

1,2,7,14,353,706,2471,4942

Greatest Common Factor

We found the factors 2242,4942 . The biggest common factor number is the GCF number.
So the greatest common factor 2242,4942 is 2.

Lets's calculate LCM of 978,8020

2 978, 8020
489, 4010

∴ So the LCM of the given numbers is 2 x 489 x 4010 = 3921780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3921780

Therefore, the GCF of Fractions 2242/978,4942/8020 is 2/3921780

Least Common Multiple of 978,8020 with GCF Formula

Least Common Multiple of 978,8020 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 978,8020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,8020) = 2

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

GCF(978,8020) x common factors =2 x 1 = 2

LCM(978,8020) = ( 978 × 8020 ) / 2

LCM(978,8020) = 7843560 / 2

LCM(978,8020) = 3921780


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 2242/978, 4942/8020

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 2242/978, 4942/8020?

Answer: GCF of Numerators as per given numbers 2242/978, 4942/8020 is

GCF of Numerators i.e. for 2242,4942 is 2

LCM of denominators i.e. for 978,8020 is 3921780.

Thus, GCF of Fractions is 2/3921780.Finally, GCF of Fractions for 2242/978, 4942/8020 is 2/3921780.