Greatest Common Factor of 200/20, 934/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 200/20, 934/923

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 200/20,934/923

Given fractions are 200/20,934/923

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 200,934

Greatest Common Factor of Numerators i.e. GCF of 200,934 is 2 .

LCM of Denominators means LCM of 20,923 as per the given fractions.

LCM of 20,923 is 18460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 200,934

GCF of Fractions 200/20,934/923 is 2/18460

2 200, 934
100, 467

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 200,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,934 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 200,934 . The biggest common factor number is the GCF number.
So the greatest common factor 200,934 is 2.

Lets's calculate LCM of 20,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 18460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18460

Therefore, the GCF of Fractions 200/20,934/923 is 2/18460

Least Common Multiple of 20,923 with GCF Formula

Least Common Multiple of 20,923 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 20,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,923) = 1

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

GCF(20,923) x common factors =1 x 1 = 1

LCM(20,923) = ( 20 × 923 ) / 1

LCM(20,923) = 18460 / 1

LCM(20,923) = 18460


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 200/20, 934/923

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 200/20, 934/923?

Answer: GCF of Numerators as per given numbers 200/20, 934/923 is

GCF of Numerators i.e. for 200,934 is 2

LCM of denominators i.e. for 20,923 is 18460.

Thus, GCF of Fractions is 2/18460.Finally, GCF of Fractions for 200/20, 934/923 is 2/18460.