Greatest Common Factor of 8365/15, 2667/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8365/15, 2667/885

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 8365/15,2667/885

Given fractions are 8365/15,2667/885

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 8365,2667

Greatest Common Factor of Numerators i.e. GCF of 8365,2667 is 7 .

LCM of Denominators means LCM of 15,885 as per the given fractions.

LCM of 15,885 is 885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8365,2667

GCF of Fractions 8365/15,2667/885 is 7/885

7 8365, 2667
1195, 381

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8365,2667 By Matching Biggest Common Factor Method

Greatest Common Factor of 8365,2667 By Matching Biggest Common Factor Method

Factors of 8365

List of positive integer factors of 8365 that divides 8365 without a remainder.

1,5,7,35,239,1195,1673,8365

Factors of 2667

List of positive integer factors of 2667 that divides 2667 without a remainder.

1,3,7,21,127,381,889,2667

Greatest Common Factor

We found the factors 8365,2667 . The biggest common factor number is the GCF number.
So the greatest common factor 8365,2667 is 7.

Lets's calculate LCM of 15,885

3 15, 885
5 5, 295
1, 59

∴ So the LCM of the given numbers is 3 x 5 x 1 x 59 = 885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/885

Therefore, the GCF of Fractions 8365/15,2667/885 is 7/885

Least Common Multiple of 15,885 with GCF Formula

Least Common Multiple of 15,885 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 15,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,885) = 15

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

GCF(15,885) x common factors =15 x 1 = 15

LCM(15,885) = ( 15 × 885 ) / 15

LCM(15,885) = 13275 / 15

LCM(15,885) = 885


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 8365/15, 2667/885

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 8365/15, 2667/885?

Answer: GCF of Numerators as per given numbers 8365/15, 2667/885 is

GCF of Numerators i.e. for 8365,2667 is 7

LCM of denominators i.e. for 15,885 is 885.

Thus, GCF of Fractions is 7/885.Finally, GCF of Fractions for 8365/15, 2667/885 is 7/885.