Greatest Common Factor of 14/289, 20/826, 592/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/289, 20/826, 592/322

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 14/289,20/826,592/322

Given fractions are 14/289,20/826,592/322

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 14,20,592

Greatest Common Factor of Numerators i.e. GCF of 14,20,592 is 2 .

LCM of Denominators means LCM of 289,826,322 as per the given fractions.

LCM of 289,826,322 is 5490422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,20,592

GCF of Fractions 14/289,20/826,592/322 is 2/5490422

2 14, 20, 592
7, 10, 296

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 14,20,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,20,592 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 14,20,592 . The biggest common factor number is the GCF number.
So the greatest common factor 14,20,592 is 2.

Lets's calculate LCM of 289,826,322

2 289, 826, 322
7 289, 413, 161
289, 59, 23

∴ So the LCM of the given numbers is 2 x 7 x 289 x 59 x 23 = 5490422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5490422

Therefore, the GCF of Fractions 14/289,20/826,592/322 is 2/5490422

Least Common Multiple of 289,826,322 with GCF Formula

Least Common Multiple of 289,826,322 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 289,826,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,826,322) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(289,826,322) x common factors =1 x 14 = 14

LCM(289,826,322) = ( 289 × 826 × 322 ) / 14

LCM(289,826,322) = 76865908 / 14

LCM(289,826,322) = 5490422


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 14/289, 20/826, 592/322

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 14/289, 20/826, 592/322?

Answer: GCF of Numerators as per given numbers 14/289, 20/826, 592/322 is

GCF of Numerators i.e. for 14,20,592 is 2

LCM of denominators i.e. for 289,826,322 is 5490422.

Thus, GCF of Fractions is 2/5490422.Finally, GCF of Fractions for 14/289, 20/826, 592/322 is 2/5490422.