Greatest Common Factor of 515/96, 331/22, 766/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 515/96, 331/22, 766/627

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 515/96,331/22,766/627

Given fractions are 515/96,331/22,766/627

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 515,331,766

Greatest Common Factor of Numerators i.e. GCF of 515,331,766 is 1 .

LCM of Denominators means LCM of 96,22,627 as per the given fractions.

LCM of 96,22,627 is 20064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 515,331,766

GCF of Fractions 515/96,331/22,766/627 is 1/20064

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

Greatest Common Factor of 515,331,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,331,766 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 515,331,766 . The biggest common factor number is the GCF number.
So the greatest common factor 515,331,766 is 1.

Lets's calculate LCM of 96,22,627

2 96, 22, 627
3 48, 11, 627
11 16, 11, 209
16, 1, 19

∴ So the LCM of the given numbers is 2 x 3 x 11 x 16 x 1 x 19 = 20064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20064

Therefore, the GCF of Fractions 515/96,331/22,766/627 is 1/20064

Least Common Multiple of 96,22,627 with GCF Formula

Least Common Multiple of 96,22,627 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 96,22,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,22,627) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(96,22,627) x common factors =1 x 66 = 66

LCM(96,22,627) = ( 96 × 22 × 627 ) / 66

LCM(96,22,627) = 1324224 / 66

LCM(96,22,627) = 20064


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 515/96, 331/22, 766/627

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 515/96, 331/22, 766/627?

Answer: GCF of Numerators as per given numbers 515/96, 331/22, 766/627 is

GCF of Numerators i.e. for 515,331,766 is 1

LCM of denominators i.e. for 96,22,627 is 20064.

Thus, GCF of Fractions is 1/20064.Finally, GCF of Fractions for 515/96, 331/22, 766/627 is 1/20064.