Greatest Common Factor of 667/15, 556/14, 839/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 667/15, 556/14, 839/968

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 667/15,556/14,839/968

Given fractions are 667/15,556/14,839/968

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 667,556,839

Greatest Common Factor of Numerators i.e. GCF of 667,556,839 is 1 .

LCM of Denominators means LCM of 15,14,968 as per the given fractions.

LCM of 15,14,968 is 101640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 667,556,839

GCF of Fractions 667/15,556/14,839/968 is 1/101640

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

Greatest Common Factor of 667,556,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,556,839 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 667,556,839 . The biggest common factor number is the GCF number.
So the greatest common factor 667,556,839 is 1.

Lets's calculate LCM of 15,14,968

2 15, 14, 968
15, 7, 484

∴ So the LCM of the given numbers is 2 x 15 x 7 x 484 = 101640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101640

Therefore, the GCF of Fractions 667/15,556/14,839/968 is 1/101640

Least Common Multiple of 15,14,968 with GCF Formula

Least Common Multiple of 15,14,968 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 15,14,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,14,968) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(15,14,968) x common factors =1 x 2 = 2

LCM(15,14,968) = ( 15 × 14 × 968 ) / 2

LCM(15,14,968) = 203280 / 2

LCM(15,14,968) = 101640


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 667/15, 556/14, 839/968

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 667/15, 556/14, 839/968?

Answer: GCF of Numerators as per given numbers 667/15, 556/14, 839/968 is

GCF of Numerators i.e. for 667,556,839 is 1

LCM of denominators i.e. for 15,14,968 is 101640.

Thus, GCF of Fractions is 1/101640.Finally, GCF of Fractions for 667/15, 556/14, 839/968 is 1/101640.