Greatest Common Factor of 38/304, 1291/6742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/304, 1291/6742

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 38/304,1291/6742

Given fractions are 38/304,1291/6742

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 38,1291

Greatest Common Factor of Numerators i.e. GCF of 38,1291 is 1 .

LCM of Denominators means LCM of 304,6742 as per the given fractions.

LCM of 304,6742 is 1024784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,1291

GCF of Fractions 38/304,1291/6742 is 1/1024784

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

Greatest Common Factor of 38,1291 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,1291 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 1291

List of positive integer factors of 1291 that divides 1291 without a remainder.

1,1291

Greatest Common Factor

We found the factors 38,1291 . The biggest common factor number is the GCF number.
So the greatest common factor 38,1291 is 1.

Lets's calculate LCM of 304,6742

2 304, 6742
152, 3371

∴ So the LCM of the given numbers is 2 x 152 x 3371 = 1024784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1024784

Therefore, the GCF of Fractions 38/304,1291/6742 is 1/1024784

Least Common Multiple of 304,6742 with GCF Formula

Least Common Multiple of 304,6742 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 304,6742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,6742) = 2

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

GCF(304,6742) x common factors =2 x 1 = 2

LCM(304,6742) = ( 304 × 6742 ) / 2

LCM(304,6742) = 2049568 / 2

LCM(304,6742) = 1024784


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 38/304, 1291/6742

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 38/304, 1291/6742?

Answer: GCF of Numerators as per given numbers 38/304, 1291/6742 is

GCF of Numerators i.e. for 38,1291 is 1

LCM of denominators i.e. for 304,6742 is 1024784.

Thus, GCF of Fractions is 1/1024784.Finally, GCF of Fractions for 38/304, 1291/6742 is 1/1024784.