Greatest Common Factor of 819/196, 5058/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/196, 5058/108

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 819/196,5058/108

Given fractions are 819/196,5058/108

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 819,5058

Greatest Common Factor of Numerators i.e. GCF of 819,5058 is 9 .

LCM of Denominators means LCM of 196,108 as per the given fractions.

LCM of 196,108 is 5292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,5058

GCF of Fractions 819/196,5058/108 is 9/5292

3 819, 5058
3 273, 1686
91, 562

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 819,5058 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,5058 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 5058

List of positive integer factors of 5058 that divides 5058 without a remainder.

1,2,3,6,9,18,281,562,843,1686,2529,5058

Greatest Common Factor

We found the factors 819,5058 . The biggest common factor number is the GCF number.
So the greatest common factor 819,5058 is 9.

Lets's calculate LCM of 196,108

2 196, 108
2 98, 54
49, 27

∴ So the LCM of the given numbers is 2 x 2 x 49 x 27 = 5292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/5292

Therefore, the GCF of Fractions 819/196,5058/108 is 9/5292

Least Common Multiple of 196,108 with GCF Formula

Least Common Multiple of 196,108 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 196,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,108) = 4

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

GCF(196,108) x common factors =4 x 1 = 4

LCM(196,108) = ( 196 × 108 ) / 4

LCM(196,108) = 21168 / 4

LCM(196,108) = 5292


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 819/196, 5058/108

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 819/196, 5058/108?

Answer: GCF of Numerators as per given numbers 819/196, 5058/108 is

GCF of Numerators i.e. for 819,5058 is 9

LCM of denominators i.e. for 196,108 is 5292.

Thus, GCF of Fractions is 9/5292.Finally, GCF of Fractions for 819/196, 5058/108 is 9/5292.