Greatest Common Factor of 213/421, 6867/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/421, 6867/497

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 213/421,6867/497

Given fractions are 213/421,6867/497

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 213,6867

Greatest Common Factor of Numerators i.e. GCF of 213,6867 is 3 .

LCM of Denominators means LCM of 421,497 as per the given fractions.

LCM of 421,497 is 209237 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,6867

GCF of Fractions 213/421,6867/497 is 3/209237

3 213, 6867
71, 2289

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

Greatest Common Factor of 213,6867 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,6867 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 6867

List of positive integer factors of 6867 that divides 6867 without a remainder.

1,3,7,9,21,63,109,327,763,981,2289,6867

Greatest Common Factor

We found the factors 213,6867 . The biggest common factor number is the GCF number.
So the greatest common factor 213,6867 is 3.

Lets's calculate LCM of 421,497

Given numbers has no common factors except 1. So, there LCM is their product i.e 209237

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/209237

Therefore, the GCF of Fractions 213/421,6867/497 is 3/209237

Least Common Multiple of 421,497 with GCF Formula

Least Common Multiple of 421,497 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 421,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,497) = 1

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

GCF(421,497) x common factors =1 x 1 = 1

LCM(421,497) = ( 421 × 497 ) / 1

LCM(421,497) = 209237 / 1

LCM(421,497) = 209237


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 213/421, 6867/497

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 213/421, 6867/497?

Answer: GCF of Numerators as per given numbers 213/421, 6867/497 is

GCF of Numerators i.e. for 213,6867 is 3

LCM of denominators i.e. for 421,497 is 209237.

Thus, GCF of Fractions is 3/209237.Finally, GCF of Fractions for 213/421, 6867/497 is 3/209237.