Greatest Common Factor of 6337/67, 3844/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6337/67, 3844/874

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 6337/67,3844/874

Given fractions are 6337/67,3844/874

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 6337,3844

Greatest Common Factor of Numerators i.e. GCF of 6337,3844 is 1 .

LCM of Denominators means LCM of 67,874 as per the given fractions.

LCM of 67,874 is 58558 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6337,3844

GCF of Fractions 6337/67,3844/874 is 1/58558

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

Greatest Common Factor of 6337,3844 By Matching Biggest Common Factor Method

Greatest Common Factor of 6337,3844 By Matching Biggest Common Factor Method

Factors of 6337

List of positive integer factors of 6337 that divides 6337 without a remainder.

1,6337

Factors of 3844

List of positive integer factors of 3844 that divides 3844 without a remainder.

1,2,4,31,62,124,961,1922,3844

Greatest Common Factor

We found the factors 6337,3844 . The biggest common factor number is the GCF number.
So the greatest common factor 6337,3844 is 1.

Lets's calculate LCM of 67,874

Given numbers has no common factors except 1. So, there LCM is their product i.e 58558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58558

Therefore, the GCF of Fractions 6337/67,3844/874 is 1/58558

Least Common Multiple of 67,874 with GCF Formula

Least Common Multiple of 67,874 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 67,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,874) = 1

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

GCF(67,874) x common factors =1 x 1 = 1

LCM(67,874) = ( 67 × 874 ) / 1

LCM(67,874) = 58558 / 1

LCM(67,874) = 58558


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 6337/67, 3844/874

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 6337/67, 3844/874?

Answer: GCF of Numerators as per given numbers 6337/67, 3844/874 is

GCF of Numerators i.e. for 6337,3844 is 1

LCM of denominators i.e. for 67,874 is 58558.

Thus, GCF of Fractions is 1/58558.Finally, GCF of Fractions for 6337/67, 3844/874 is 1/58558.