Greatest Common Factor of 665/14, 3067/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/14, 3067/408

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 665/14,3067/408

Given fractions are 665/14,3067/408

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 665,3067

Greatest Common Factor of Numerators i.e. GCF of 665,3067 is 1 .

LCM of Denominators means LCM of 14,408 as per the given fractions.

LCM of 14,408 is 2856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,3067

GCF of Fractions 665/14,3067/408 is 1/2856

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

Greatest Common Factor of 665,3067 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,3067 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 3067

List of positive integer factors of 3067 that divides 3067 without a remainder.

1,3067

Greatest Common Factor

We found the factors 665,3067 . The biggest common factor number is the GCF number.
So the greatest common factor 665,3067 is 1.

Lets's calculate LCM of 14,408

2 14, 408
7, 204

∴ So the LCM of the given numbers is 2 x 7 x 204 = 2856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2856

Therefore, the GCF of Fractions 665/14,3067/408 is 1/2856

Least Common Multiple of 14,408 with GCF Formula

Least Common Multiple of 14,408 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 14,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,408) = 2

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

GCF(14,408) x common factors =2 x 1 = 2

LCM(14,408) = ( 14 × 408 ) / 2

LCM(14,408) = 5712 / 2

LCM(14,408) = 2856


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 665/14, 3067/408

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 665/14, 3067/408?

Answer: GCF of Numerators as per given numbers 665/14, 3067/408 is

GCF of Numerators i.e. for 665,3067 is 1

LCM of denominators i.e. for 14,408 is 2856.

Thus, GCF of Fractions is 1/2856.Finally, GCF of Fractions for 665/14, 3067/408 is 1/2856.