Greatest Common Factor of 766/28, 360/54, 517/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 766/28, 360/54, 517/612

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 766/28,360/54,517/612

Given fractions are 766/28,360/54,517/612

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 766,360,517

Greatest Common Factor of Numerators i.e. GCF of 766,360,517 is 1 .

LCM of Denominators means LCM of 28,54,612 as per the given fractions.

LCM of 28,54,612 is 12852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 766,360,517

GCF of Fractions 766/28,360/54,517/612 is 1/12852

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

Greatest Common Factor of 766,360,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,360,517 By Matching Biggest Common Factor Method

Factors of 766

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

1,2,383,766

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 766,360,517 . The biggest common factor number is the GCF number.
So the greatest common factor 766,360,517 is 1.

Lets's calculate LCM of 28,54,612

2 28, 54, 612
2 14, 27, 306
3 7, 27, 153
3 7, 9, 51
7, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 3 x 17 = 12852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12852

Therefore, the GCF of Fractions 766/28,360/54,517/612 is 1/12852

Least Common Multiple of 28,54,612 with GCF Formula

Least Common Multiple of 28,54,612 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 28,54,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,54,612) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(28,54,612) x common factors =2 x 36 = 72

LCM(28,54,612) = ( 28 × 54 × 612 ) / 72

LCM(28,54,612) = 925344 / 72

LCM(28,54,612) = 12852


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 766/28, 360/54, 517/612

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 766/28, 360/54, 517/612?

Answer: GCF of Numerators as per given numbers 766/28, 360/54, 517/612 is

GCF of Numerators i.e. for 766,360,517 is 1

LCM of denominators i.e. for 28,54,612 is 12852.

Thus, GCF of Fractions is 1/12852.Finally, GCF of Fractions for 766/28, 360/54, 517/612 is 1/12852.