Greatest Common Factor of 2214/20, 1494/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2214/20, 1494/820

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 2214/20,1494/820

Given fractions are 2214/20,1494/820

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 2214,1494

Greatest Common Factor of Numerators i.e. GCF of 2214,1494 is 18 .

LCM of Denominators means LCM of 20,820 as per the given fractions.

LCM of 20,820 is 820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2214,1494

GCF of Fractions 2214/20,1494/820 is 18/820

2 2214, 1494
3 1107, 747
3 369, 249
123, 83

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 2214,1494 By Matching Biggest Common Factor Method

Greatest Common Factor of 2214,1494 By Matching Biggest Common Factor Method

Factors of 2214

List of positive integer factors of 2214 that divides 2214 without a remainder.

1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214

Factors of 1494

List of positive integer factors of 1494 that divides 1494 without a remainder.

1,2,3,6,9,18,83,166,249,498,747,1494

Greatest Common Factor

We found the factors 2214,1494 . The biggest common factor number is the GCF number.
So the greatest common factor 2214,1494 is 18.

Lets's calculate LCM of 20,820

2 20, 820
2 10, 410
5 5, 205
1, 41

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 41 = 820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/820

Therefore, the GCF of Fractions 2214/20,1494/820 is 18/820

Least Common Multiple of 20,820 with GCF Formula

Least Common Multiple of 20,820 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 20,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,820) = 20

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

GCF(20,820) x common factors =20 x 1 = 20

LCM(20,820) = ( 20 × 820 ) / 20

LCM(20,820) = 16400 / 20

LCM(20,820) = 820


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 2214/20, 1494/820

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 2214/20, 1494/820?

Answer: GCF of Numerators as per given numbers 2214/20, 1494/820 is

GCF of Numerators i.e. for 2214,1494 is 18

LCM of denominators i.e. for 20,820 is 820.

Thus, GCF of Fractions is 18/820.Finally, GCF of Fractions for 2214/20, 1494/820 is 18/820.