Greatest Common Factor of 213/20, 894/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/20, 894/156

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 213/20,894/156

Given fractions are 213/20,894/156

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 213,894

Greatest Common Factor of Numerators i.e. GCF of 213,894 is 3 .

LCM of Denominators means LCM of 20,156 as per the given fractions.

LCM of 20,156 is 780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,894

GCF of Fractions 213/20,894/156 is 3/780

3 213, 894
71, 298

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 213,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,894 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 213,894 . The biggest common factor number is the GCF number.
So the greatest common factor 213,894 is 3.

Lets's calculate LCM of 20,156

2 20, 156
2 10, 78
5, 39

∴ So the LCM of the given numbers is 2 x 2 x 5 x 39 = 780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/780

Therefore, the GCF of Fractions 213/20,894/156 is 3/780

Least Common Multiple of 20,156 with GCF Formula

Least Common Multiple of 20,156 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 20,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,156) = 4

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

GCF(20,156) x common factors =4 x 1 = 4

LCM(20,156) = ( 20 × 156 ) / 4

LCM(20,156) = 3120 / 4

LCM(20,156) = 780


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 213/20, 894/156

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 213/20, 894/156?

Answer: GCF of Numerators as per given numbers 213/20, 894/156 is

GCF of Numerators i.e. for 213,894 is 3

LCM of denominators i.e. for 20,156 is 780.

Thus, GCF of Fractions is 3/780.Finally, GCF of Fractions for 213/20, 894/156 is 3/780.