Greatest Common Factor of 2384/13, 4308/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2384/13, 4308/421

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 2384/13,4308/421

Given fractions are 2384/13,4308/421

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 2384,4308

Greatest Common Factor of Numerators i.e. GCF of 2384,4308 is 4 .

LCM of Denominators means LCM of 13,421 as per the given fractions.

LCM of 13,421 is 5473 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2384,4308

GCF of Fractions 2384/13,4308/421 is 4/5473

2 2384, 4308
2 1192, 2154
596, 1077

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2384,4308 By Matching Biggest Common Factor Method

Greatest Common Factor of 2384,4308 By Matching Biggest Common Factor Method

Factors of 2384

List of positive integer factors of 2384 that divides 2384 without a remainder.

1,2,4,8,16,149,298,596,1192,2384

Factors of 4308

List of positive integer factors of 4308 that divides 4308 without a remainder.

1,2,3,4,6,12,359,718,1077,1436,2154,4308

Greatest Common Factor

We found the factors 2384,4308 . The biggest common factor number is the GCF number.
So the greatest common factor 2384,4308 is 4.

Lets's calculate LCM of 13,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 5473

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5473

Therefore, the GCF of Fractions 2384/13,4308/421 is 4/5473

Least Common Multiple of 13,421 with GCF Formula

Least Common Multiple of 13,421 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 13,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,421) = 1

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

GCF(13,421) x common factors =1 x 1 = 1

LCM(13,421) = ( 13 × 421 ) / 1

LCM(13,421) = 5473 / 1

LCM(13,421) = 5473


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 2384/13, 4308/421

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 2384/13, 4308/421?

Answer: GCF of Numerators as per given numbers 2384/13, 4308/421 is

GCF of Numerators i.e. for 2384,4308 is 4

LCM of denominators i.e. for 13,421 is 5473.

Thus, GCF of Fractions is 4/5473.Finally, GCF of Fractions for 2384/13, 4308/421 is 4/5473.