Greatest Common Factor of 819/90, 359/31, 279/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/90, 359/31, 279/60

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 819/90,359/31,279/60

Given fractions are 819/90,359/31,279/60

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 819,359,279

Greatest Common Factor of Numerators i.e. GCF of 819,359,279 is 1 .

LCM of Denominators means LCM of 90,31,60 as per the given fractions.

LCM of 90,31,60 is 5580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,359,279

GCF of Fractions 819/90,359/31,279/60 is 1/5580

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 819,359,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,359,279 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 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 819,359,279 . The biggest common factor number is the GCF number.
So the greatest common factor 819,359,279 is 1.

Lets's calculate LCM of 90,31,60

2 90, 31, 60
3 45, 31, 30
5 15, 31, 10
3, 31, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 31 x 2 = 5580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5580

Therefore, the GCF of Fractions 819/90,359/31,279/60 is 1/5580

Least Common Multiple of 90,31,60 with GCF Formula

Least Common Multiple of 90,31,60 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 90,31,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,31,60) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(90,31,60) x common factors =1 x 30 = 30

LCM(90,31,60) = ( 90 × 31 × 60 ) / 30

LCM(90,31,60) = 167400 / 30

LCM(90,31,60) = 5580


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 819/90, 359/31, 279/60

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 819/90, 359/31, 279/60?

Answer: GCF of Numerators as per given numbers 819/90, 359/31, 279/60 is

GCF of Numerators i.e. for 819,359,279 is 1

LCM of denominators i.e. for 90,31,60 is 5580.

Thus, GCF of Fractions is 1/5580.Finally, GCF of Fractions for 819/90, 359/31, 279/60 is 1/5580.