Greatest Common Factor of 2346/939, 3924/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2346/939, 3924/638

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 2346/939,3924/638

Given fractions are 2346/939,3924/638

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 2346,3924

Greatest Common Factor of Numerators i.e. GCF of 2346,3924 is 6 .

LCM of Denominators means LCM of 939,638 as per the given fractions.

LCM of 939,638 is 599082 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2346,3924

GCF of Fractions 2346/939,3924/638 is 6/599082

2 2346, 3924
3 1173, 1962
391, 654

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2346,3924 By Matching Biggest Common Factor Method

Greatest Common Factor of 2346,3924 By Matching Biggest Common Factor Method

Factors of 2346

List of positive integer factors of 2346 that divides 2346 without a remainder.

1,2,3,6,17,23,34,46,51,69,102,138,391,782,1173,2346

Factors of 3924

List of positive integer factors of 3924 that divides 3924 without a remainder.

1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924

Greatest Common Factor

We found the factors 2346,3924 . The biggest common factor number is the GCF number.
So the greatest common factor 2346,3924 is 6.

Lets's calculate LCM of 939,638

Given numbers has no common factors except 1. So, there LCM is their product i.e 599082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/599082

Therefore, the GCF of Fractions 2346/939,3924/638 is 6/599082

Least Common Multiple of 939,638 with GCF Formula

Least Common Multiple of 939,638 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 939,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,638) = 1

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

GCF(939,638) x common factors =1 x 1 = 1

LCM(939,638) = ( 939 × 638 ) / 1

LCM(939,638) = 599082 / 1

LCM(939,638) = 599082


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2346/939, 3924/638

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 2346/939, 3924/638?

Answer: GCF of Numerators as per given numbers 2346/939, 3924/638 is

GCF of Numerators i.e. for 2346,3924 is 6

LCM of denominators i.e. for 939,638 is 599082.

Thus, GCF of Fractions is 6/599082.Finally, GCF of Fractions for 2346/939, 3924/638 is 6/599082.