Greatest Common Factor of 294/89, 521/89, 206/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/89, 521/89, 206/812

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 294/89,521/89,206/812

Given fractions are 294/89,521/89,206/812

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 294,521,206

Greatest Common Factor of Numerators i.e. GCF of 294,521,206 is 1 .

LCM of Denominators means LCM of 89,89,812 as per the given fractions.

LCM of 89,89,812 is 72268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,521,206

GCF of Fractions 294/89,521/89,206/812 is 1/72268

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

Greatest Common Factor of 294,521,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,521,206 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 294,521,206 . The biggest common factor number is the GCF number.
So the greatest common factor 294,521,206 is 1.

Lets's calculate LCM of 89,89,812

89 89, 89, 812
1, 1, 812

∴ So the LCM of the given numbers is 89 x 1 x 1 x 812 = 72268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72268

Therefore, the GCF of Fractions 294/89,521/89,206/812 is 1/72268

Least Common Multiple of 89,89,812 with GCF Formula

Least Common Multiple of 89,89,812 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 89,89,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,89,812) = 1

common factors(in case of two or more numbers have common factors) = 89

GCF(89,89,812) x common factors =1 x 89 = 89

LCM(89,89,812) = ( 89 × 89 × 812 ) / 89

LCM(89,89,812) = 6431852 / 89

LCM(89,89,812) = 72268


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 294/89, 521/89, 206/812

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 294/89, 521/89, 206/812?

Answer: GCF of Numerators as per given numbers 294/89, 521/89, 206/812 is

GCF of Numerators i.e. for 294,521,206 is 1

LCM of denominators i.e. for 89,89,812 is 72268.

Thus, GCF of Fractions is 1/72268.Finally, GCF of Fractions for 294/89, 521/89, 206/812 is 1/72268.