Greatest Common Factor of 4314/37, 7031/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4314/37, 7031/893

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 4314/37,7031/893

Given fractions are 4314/37,7031/893

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 4314,7031

Greatest Common Factor of Numerators i.e. GCF of 4314,7031 is 1 .

LCM of Denominators means LCM of 37,893 as per the given fractions.

LCM of 37,893 is 33041 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4314,7031

GCF of Fractions 4314/37,7031/893 is 1/33041

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

Greatest Common Factor of 4314,7031 By Matching Biggest Common Factor Method

Greatest Common Factor of 4314,7031 By Matching Biggest Common Factor Method

Factors of 4314

List of positive integer factors of 4314 that divides 4314 without a remainder.

1,2,3,6,719,1438,2157,4314

Factors of 7031

List of positive integer factors of 7031 that divides 7031 without a remainder.

1,79,89,7031

Greatest Common Factor

We found the factors 4314,7031 . The biggest common factor number is the GCF number.
So the greatest common factor 4314,7031 is 1.

Lets's calculate LCM of 37,893

Given numbers has no common factors except 1. So, there LCM is their product i.e 33041

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33041

Therefore, the GCF of Fractions 4314/37,7031/893 is 1/33041

Least Common Multiple of 37,893 with GCF Formula

Least Common Multiple of 37,893 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 37,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,893) = 1

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

GCF(37,893) x common factors =1 x 1 = 1

LCM(37,893) = ( 37 × 893 ) / 1

LCM(37,893) = 33041 / 1

LCM(37,893) = 33041


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 4314/37, 7031/893

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 4314/37, 7031/893?

Answer: GCF of Numerators as per given numbers 4314/37, 7031/893 is

GCF of Numerators i.e. for 4314,7031 is 1

LCM of denominators i.e. for 37,893 is 33041.

Thus, GCF of Fractions is 1/33041.Finally, GCF of Fractions for 4314/37, 7031/893 is 1/33041.