Greatest Common Factor of 923/809, 5057/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 923/809, 5057/211

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 923/809,5057/211

Given fractions are 923/809,5057/211

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 923,5057

Greatest Common Factor of Numerators i.e. GCF of 923,5057 is 13 .

LCM of Denominators means LCM of 809,211 as per the given fractions.

LCM of 809,211 is 170699 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 923,5057

GCF of Fractions 923/809,5057/211 is 13/170699

13 923, 5057
71, 389

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 923,5057 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,5057 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 5057

List of positive integer factors of 5057 that divides 5057 without a remainder.

1,13,389,5057

Greatest Common Factor

We found the factors 923,5057 . The biggest common factor number is the GCF number.
So the greatest common factor 923,5057 is 13.

Lets's calculate LCM of 809,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 170699

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/170699

Therefore, the GCF of Fractions 923/809,5057/211 is 13/170699

Least Common Multiple of 809,211 with GCF Formula

Least Common Multiple of 809,211 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 809,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,211) = 1

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

GCF(809,211) x common factors =1 x 1 = 1

LCM(809,211) = ( 809 × 211 ) / 1

LCM(809,211) = 170699 / 1

LCM(809,211) = 170699


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 923/809, 5057/211

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 923/809, 5057/211?

Answer: GCF of Numerators as per given numbers 923/809, 5057/211 is

GCF of Numerators i.e. for 923,5057 is 13

LCM of denominators i.e. for 809,211 is 170699.

Thus, GCF of Fractions is 13/170699.Finally, GCF of Fractions for 923/809, 5057/211 is 13/170699.