Greatest Common Factor of 4238/341, 2015/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4238/341, 2015/384

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 4238/341,2015/384

Given fractions are 4238/341,2015/384

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 4238,2015

Greatest Common Factor of Numerators i.e. GCF of 4238,2015 is 13 .

LCM of Denominators means LCM of 341,384 as per the given fractions.

LCM of 341,384 is 130944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4238,2015

GCF of Fractions 4238/341,2015/384 is 13/130944

13 4238, 2015
326, 155

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

Greatest Common Factor of 4238,2015 By Matching Biggest Common Factor Method

Greatest Common Factor of 4238,2015 By Matching Biggest Common Factor Method

Factors of 4238

List of positive integer factors of 4238 that divides 4238 without a remainder.

1,2,13,26,163,326,2119,4238

Factors of 2015

List of positive integer factors of 2015 that divides 2015 without a remainder.

1,5,13,31,65,155,403,2015

Greatest Common Factor

We found the factors 4238,2015 . The biggest common factor number is the GCF number.
So the greatest common factor 4238,2015 is 13.

Lets's calculate LCM of 341,384

Given numbers has no common factors except 1. So, there LCM is their product i.e 130944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/130944

Therefore, the GCF of Fractions 4238/341,2015/384 is 13/130944

Least Common Multiple of 341,384 with GCF Formula

Least Common Multiple of 341,384 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 341,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,384) = 1

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

GCF(341,384) x common factors =1 x 1 = 1

LCM(341,384) = ( 341 × 384 ) / 1

LCM(341,384) = 130944 / 1

LCM(341,384) = 130944


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 4238/341, 2015/384

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 4238/341, 2015/384?

Answer: GCF of Numerators as per given numbers 4238/341, 2015/384 is

GCF of Numerators i.e. for 4238,2015 is 13

LCM of denominators i.e. for 341,384 is 130944.

Thus, GCF of Fractions is 13/130944.Finally, GCF of Fractions for 4238/341, 2015/384 is 13/130944.