Greatest Common Factor of 517/891, 366/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 517/891, 366/366

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 517/891,366/366

Given fractions are 517/891,366/366

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 517,366

Greatest Common Factor of Numerators i.e. GCF of 517,366 is 1 .

LCM of Denominators means LCM of 891,366 as per the given fractions.

LCM of 891,366 is 108702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 517,366

GCF of Fractions 517/891,366/366 is 1/108702

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

Greatest Common Factor of 517,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,366 By Matching Biggest Common Factor Method

Factors of 517

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

1,11,47,517

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 517,366 . The biggest common factor number is the GCF number.
So the greatest common factor 517,366 is 1.

Lets's calculate LCM of 891,366

3 891, 366
297, 122

∴ So the LCM of the given numbers is 3 x 297 x 122 = 108702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108702

Therefore, the GCF of Fractions 517/891,366/366 is 1/108702

Least Common Multiple of 891,366 with GCF Formula

Least Common Multiple of 891,366 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 891,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,366) = 3

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

GCF(891,366) x common factors =3 x 1 = 3

LCM(891,366) = ( 891 × 366 ) / 3

LCM(891,366) = 326106 / 3

LCM(891,366) = 108702


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 517/891, 366/366

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 517/891, 366/366?

Answer: GCF of Numerators as per given numbers 517/891, 366/366 is

GCF of Numerators i.e. for 517,366 is 1

LCM of denominators i.e. for 891,366 is 108702.

Thus, GCF of Fractions is 1/108702.Finally, GCF of Fractions for 517/891, 366/366 is 1/108702.