Greatest Common Factor of 5371/213, 8384/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5371/213, 8384/469

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 5371/213,8384/469

Given fractions are 5371/213,8384/469

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 5371,8384

Greatest Common Factor of Numerators i.e. GCF of 5371,8384 is 131 .

LCM of Denominators means LCM of 213,469 as per the given fractions.

LCM of 213,469 is 99897 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5371,8384

GCF of Fractions 5371/213,8384/469 is 131/99897

131 5371, 8384
41, 64

∴ So the GCF of the given numbers is 131 = 131

Greatest Common Factor of 5371,8384 By Matching Biggest Common Factor Method

Greatest Common Factor of 5371,8384 By Matching Biggest Common Factor Method

Factors of 5371

List of positive integer factors of 5371 that divides 5371 without a remainder.

1,41,131,5371

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384

Greatest Common Factor

We found the factors 5371,8384 . The biggest common factor number is the GCF number.
So the greatest common factor 5371,8384 is 131.

Lets's calculate LCM of 213,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 99897

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 131/99897

Therefore, the GCF of Fractions 5371/213,8384/469 is 131/99897

Least Common Multiple of 213,469 with GCF Formula

Least Common Multiple of 213,469 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 213,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,469) = 1

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

GCF(213,469) x common factors =1 x 1 = 1

LCM(213,469) = ( 213 × 469 ) / 1

LCM(213,469) = 99897 / 1

LCM(213,469) = 99897


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 5371/213, 8384/469

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 5371/213, 8384/469?

Answer: GCF of Numerators as per given numbers 5371/213, 8384/469 is

GCF of Numerators i.e. for 5371,8384 is 131

LCM of denominators i.e. for 213,469 is 99897.

Thus, GCF of Fractions is 131/99897.Finally, GCF of Fractions for 5371/213, 8384/469 is 131/99897.