Greatest Common Factor of 4067/327, 3460/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4067/327, 3460/678

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 4067/327,3460/678

Given fractions are 4067/327,3460/678

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 4067,3460

Greatest Common Factor of Numerators i.e. GCF of 4067,3460 is 1 .

LCM of Denominators means LCM of 327,678 as per the given fractions.

LCM of 327,678 is 73902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4067,3460

GCF of Fractions 4067/327,3460/678 is 1/73902

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

Greatest Common Factor of 4067,3460 By Matching Biggest Common Factor Method

Greatest Common Factor of 4067,3460 By Matching Biggest Common Factor Method

Factors of 4067

List of positive integer factors of 4067 that divides 4067 without a remainder.

1,7,49,83,581,4067

Factors of 3460

List of positive integer factors of 3460 that divides 3460 without a remainder.

1,2,4,5,10,20,173,346,692,865,1730,3460

Greatest Common Factor

We found the factors 4067,3460 . The biggest common factor number is the GCF number.
So the greatest common factor 4067,3460 is 1.

Lets's calculate LCM of 327,678

3 327, 678
109, 226

∴ So the LCM of the given numbers is 3 x 109 x 226 = 73902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73902

Therefore, the GCF of Fractions 4067/327,3460/678 is 1/73902

Least Common Multiple of 327,678 with GCF Formula

Least Common Multiple of 327,678 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 327,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,678) = 3

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

GCF(327,678) x common factors =3 x 1 = 3

LCM(327,678) = ( 327 × 678 ) / 3

LCM(327,678) = 221706 / 3

LCM(327,678) = 73902


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 4067/327, 3460/678

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 4067/327, 3460/678?

Answer: GCF of Numerators as per given numbers 4067/327, 3460/678 is

GCF of Numerators i.e. for 4067,3460 is 1

LCM of denominators i.e. for 327,678 is 73902.

Thus, GCF of Fractions is 1/73902.Finally, GCF of Fractions for 4067/327, 3460/678 is 1/73902.