Greatest Common Factor of 9823/342, 9940/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9823/342, 9940/293

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 9823/342,9940/293

Given fractions are 9823/342,9940/293

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 9823,9940

Greatest Common Factor of Numerators i.e. GCF of 9823,9940 is 1 .

LCM of Denominators means LCM of 342,293 as per the given fractions.

LCM of 342,293 is 100206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9823,9940

GCF of Fractions 9823/342,9940/293 is 1/100206

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9823,9940 By Matching Biggest Common Factor Method

Greatest Common Factor of 9823,9940 By Matching Biggest Common Factor Method

Factors of 9823

List of positive integer factors of 9823 that divides 9823 without a remainder.

1,11,19,47,209,517,893,9823

Factors of 9940

List of positive integer factors of 9940 that divides 9940 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940

Greatest Common Factor

We found the factors 9823,9940 . The biggest common factor number is the GCF number.
So the greatest common factor 9823,9940 is 1.

Lets's calculate LCM of 342,293

Given numbers has no common factors except 1. So, there LCM is their product i.e 100206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100206

Therefore, the GCF of Fractions 9823/342,9940/293 is 1/100206

Least Common Multiple of 342,293 with GCF Formula

Least Common Multiple of 342,293 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 342,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,293) = 1

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

GCF(342,293) x common factors =1 x 1 = 1

LCM(342,293) = ( 342 × 293 ) / 1

LCM(342,293) = 100206 / 1

LCM(342,293) = 100206


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 9823/342, 9940/293

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 9823/342, 9940/293?

Answer: GCF of Numerators as per given numbers 9823/342, 9940/293 is

GCF of Numerators i.e. for 9823,9940 is 1

LCM of denominators i.e. for 342,293 is 100206.

Thus, GCF of Fractions is 1/100206.Finally, GCF of Fractions for 9823/342, 9940/293 is 1/100206.