Greatest Common Factor of 4802/212, 7198/9494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4802/212, 7198/9494

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 4802/212,7198/9494

Given fractions are 4802/212,7198/9494

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 4802,7198

Greatest Common Factor of Numerators i.e. GCF of 4802,7198 is 2 .

LCM of Denominators means LCM of 212,9494 as per the given fractions.

LCM of 212,9494 is 1006364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4802,7198

GCF of Fractions 4802/212,7198/9494 is 2/1006364

2 4802, 7198
2401, 3599

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

Greatest Common Factor of 4802,7198 By Matching Biggest Common Factor Method

Greatest Common Factor of 4802,7198 By Matching Biggest Common Factor Method

Factors of 4802

List of positive integer factors of 4802 that divides 4802 without a remainder.

1,2,7,14,49,98,343,686,2401,4802

Factors of 7198

List of positive integer factors of 7198 that divides 7198 without a remainder.

1,2,59,61,118,122,3599,7198

Greatest Common Factor

We found the factors 4802,7198 . The biggest common factor number is the GCF number.
So the greatest common factor 4802,7198 is 2.

Lets's calculate LCM of 212,9494

2 212, 9494
106, 4747

∴ So the LCM of the given numbers is 2 x 106 x 4747 = 1006364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1006364

Therefore, the GCF of Fractions 4802/212,7198/9494 is 2/1006364

Least Common Multiple of 212,9494 with GCF Formula

Least Common Multiple of 212,9494 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 212,9494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,9494) = 2

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

GCF(212,9494) x common factors =2 x 1 = 2

LCM(212,9494) = ( 212 × 9494 ) / 2

LCM(212,9494) = 2012728 / 2

LCM(212,9494) = 1006364


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 4802/212, 7198/9494

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 4802/212, 7198/9494?

Answer: GCF of Numerators as per given numbers 4802/212, 7198/9494 is

GCF of Numerators i.e. for 4802,7198 is 2

LCM of denominators i.e. for 212,9494 is 1006364.

Thus, GCF of Fractions is 2/1006364.Finally, GCF of Fractions for 4802/212, 7198/9494 is 2/1006364.