Greatest Common Factor of 819/592, 1898/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/592, 1898/542

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 819/592,1898/542

Given fractions are 819/592,1898/542

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 819,1898

Greatest Common Factor of Numerators i.e. GCF of 819,1898 is 13 .

LCM of Denominators means LCM of 592,542 as per the given fractions.

LCM of 592,542 is 160432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,1898

GCF of Fractions 819/592,1898/542 is 13/160432

13 819, 1898
63, 146

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 819,1898 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,1898 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 1898

List of positive integer factors of 1898 that divides 1898 without a remainder.

1,2,13,26,73,146,949,1898

Greatest Common Factor

We found the factors 819,1898 . The biggest common factor number is the GCF number.
So the greatest common factor 819,1898 is 13.

Lets's calculate LCM of 592,542

2 592, 542
296, 271

∴ So the LCM of the given numbers is 2 x 296 x 271 = 160432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/160432

Therefore, the GCF of Fractions 819/592,1898/542 is 13/160432

Least Common Multiple of 592,542 with GCF Formula

Least Common Multiple of 592,542 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 592,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,542) = 2

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

GCF(592,542) x common factors =2 x 1 = 2

LCM(592,542) = ( 592 × 542 ) / 2

LCM(592,542) = 320864 / 2

LCM(592,542) = 160432


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 819/592, 1898/542

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 819/592, 1898/542?

Answer: GCF of Numerators as per given numbers 819/592, 1898/542 is

GCF of Numerators i.e. for 819,1898 is 13

LCM of denominators i.e. for 592,542 is 160432.

Thus, GCF of Fractions is 13/160432.Finally, GCF of Fractions for 819/592, 1898/542 is 13/160432.