Greatest Common Factor of 7198/564, 1924/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7198/564, 1924/408

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 7198/564,1924/408

Given fractions are 7198/564,1924/408

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 7198,1924

Greatest Common Factor of Numerators i.e. GCF of 7198,1924 is 2 .

LCM of Denominators means LCM of 564,408 as per the given fractions.

LCM of 564,408 is 19176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7198,1924

GCF of Fractions 7198/564,1924/408 is 2/19176

2 7198, 1924
3599, 962

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

Greatest Common Factor of 7198,1924 By Matching Biggest Common Factor Method

Greatest Common Factor of 7198,1924 By Matching Biggest Common Factor Method

Factors of 7198

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

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

Factors of 1924

List of positive integer factors of 1924 that divides 1924 without a remainder.

1,2,4,13,26,37,52,74,148,481,962,1924

Greatest Common Factor

We found the factors 7198,1924 . The biggest common factor number is the GCF number.
So the greatest common factor 7198,1924 is 2.

Lets's calculate LCM of 564,408

2 564, 408
2 282, 204
3 141, 102
47, 34

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 34 = 19176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19176

Therefore, the GCF of Fractions 7198/564,1924/408 is 2/19176

Least Common Multiple of 564,408 with GCF Formula

Least Common Multiple of 564,408 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 564,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,408) = 12

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

GCF(564,408) x common factors =12 x 1 = 12

LCM(564,408) = ( 564 × 408 ) / 12

LCM(564,408) = 230112 / 12

LCM(564,408) = 19176


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 7198/564, 1924/408

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 7198/564, 1924/408?

Answer: GCF of Numerators as per given numbers 7198/564, 1924/408 is

GCF of Numerators i.e. for 7198,1924 is 2

LCM of denominators i.e. for 564,408 is 19176.

Thus, GCF of Fractions is 2/19176.Finally, GCF of Fractions for 7198/564, 1924/408 is 2/19176.