Greatest Common Factor of 819/21, 210/60, 278/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/21, 210/60, 278/389

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 819/21,210/60,278/389

Given fractions are 819/21,210/60,278/389

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 819,210,278

Greatest Common Factor of Numerators i.e. GCF of 819,210,278 is 1 .

LCM of Denominators means LCM of 21,60,389 as per the given fractions.

LCM of 21,60,389 is 163380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,210,278

GCF of Fractions 819/21,210/60,278/389 is 1/163380

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

Greatest Common Factor of 819,210,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,210,278 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 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 819,210,278 . The biggest common factor number is the GCF number.
So the greatest common factor 819,210,278 is 1.

Lets's calculate LCM of 21,60,389

3 21, 60, 389
7, 20, 389

∴ So the LCM of the given numbers is 3 x 7 x 20 x 389 = 163380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163380

Therefore, the GCF of Fractions 819/21,210/60,278/389 is 1/163380

Least Common Multiple of 21,60,389 with GCF Formula

Least Common Multiple of 21,60,389 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 21,60,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,60,389) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,60,389) x common factors =1 x 3 = 3

LCM(21,60,389) = ( 21 × 60 × 389 ) / 3

LCM(21,60,389) = 490140 / 3

LCM(21,60,389) = 163380


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 819/21, 210/60, 278/389

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 819/21, 210/60, 278/389?

Answer: GCF of Numerators as per given numbers 819/21, 210/60, 278/389 is

GCF of Numerators i.e. for 819,210,278 is 1

LCM of denominators i.e. for 21,60,389 is 163380.

Thus, GCF of Fractions is 1/163380.Finally, GCF of Fractions for 819/21, 210/60, 278/389 is 1/163380.