Greatest Common Factor of 585/99, 7674/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 585/99, 7674/867

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 585/99,7674/867

Given fractions are 585/99,7674/867

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 585,7674

Greatest Common Factor of Numerators i.e. GCF of 585,7674 is 3 .

LCM of Denominators means LCM of 99,867 as per the given fractions.

LCM of 99,867 is 28611 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 585,7674

GCF of Fractions 585/99,7674/867 is 3/28611

3 585, 7674
195, 2558

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 585,7674 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,7674 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 7674

List of positive integer factors of 7674 that divides 7674 without a remainder.

1,2,3,6,1279,2558,3837,7674

Greatest Common Factor

We found the factors 585,7674 . The biggest common factor number is the GCF number.
So the greatest common factor 585,7674 is 3.

Lets's calculate LCM of 99,867

3 99, 867
33, 289

∴ So the LCM of the given numbers is 3 x 33 x 289 = 28611

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28611

Therefore, the GCF of Fractions 585/99,7674/867 is 3/28611

Least Common Multiple of 99,867 with GCF Formula

Least Common Multiple of 99,867 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 99,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,867) = 3

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

GCF(99,867) x common factors =3 x 1 = 3

LCM(99,867) = ( 99 × 867 ) / 3

LCM(99,867) = 85833 / 3

LCM(99,867) = 28611


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 585/99, 7674/867

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 585/99, 7674/867?

Answer: GCF of Numerators as per given numbers 585/99, 7674/867 is

GCF of Numerators i.e. for 585,7674 is 3

LCM of denominators i.e. for 99,867 is 28611.

Thus, GCF of Fractions is 3/28611.Finally, GCF of Fractions for 585/99, 7674/867 is 3/28611.