Greatest Common Factor of 660/519, 667/956, 987/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 660/519, 667/956, 987/408

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 660/519,667/956,987/408

Given fractions are 660/519,667/956,987/408

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 660,667,987

Greatest Common Factor of Numerators i.e. GCF of 660,667,987 is 1 .

LCM of Denominators means LCM of 519,956,408 as per the given fractions.

LCM of 519,956,408 is 16869576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 660,667,987

GCF of Fractions 660/519,667/956,987/408 is 1/16869576

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

Greatest Common Factor of 660,667,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,667,987 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 667

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

1,23,29,667

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 660,667,987 . The biggest common factor number is the GCF number.
So the greatest common factor 660,667,987 is 1.

Lets's calculate LCM of 519,956,408

2 519, 956, 408
2 519, 478, 204
3 519, 239, 102
173, 239, 34

∴ So the LCM of the given numbers is 2 x 2 x 3 x 173 x 239 x 34 = 16869576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16869576

Therefore, the GCF of Fractions 660/519,667/956,987/408 is 1/16869576

Least Common Multiple of 519,956,408 with GCF Formula

Least Common Multiple of 519,956,408 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 519,956,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,956,408) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(519,956,408) x common factors =1 x 12 = 12

LCM(519,956,408) = ( 519 × 956 × 408 ) / 12

LCM(519,956,408) = 202434912 / 12

LCM(519,956,408) = 16869576


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 660/519, 667/956, 987/408

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 660/519, 667/956, 987/408?

Answer: GCF of Numerators as per given numbers 660/519, 667/956, 987/408 is

GCF of Numerators i.e. for 660,667,987 is 1

LCM of denominators i.e. for 519,956,408 is 16869576.

Thus, GCF of Fractions is 1/16869576.Finally, GCF of Fractions for 660/519, 667/956, 987/408 is 1/16869576.