Greatest Common Factor of 9879/585, 9990/3655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9879/585, 9990/3655

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 9879/585,9990/3655

Given fractions are 9879/585,9990/3655

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 9879,9990

Greatest Common Factor of Numerators i.e. GCF of 9879,9990 is 111 .

LCM of Denominators means LCM of 585,3655 as per the given fractions.

LCM of 585,3655 is 427635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9879,9990

GCF of Fractions 9879/585,9990/3655 is 111/427635

3 9879, 9990
37 3293, 3330
89, 90

∴ So the GCF of the given numbers is 3 x 37 = 111

Greatest Common Factor of 9879,9990 By Matching Biggest Common Factor Method

Greatest Common Factor of 9879,9990 By Matching Biggest Common Factor Method

Factors of 9879

List of positive integer factors of 9879 that divides 9879 without a remainder.

1,3,37,89,111,267,3293,9879

Factors of 9990

List of positive integer factors of 9990 that divides 9990 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,37,45,54,74,90,111,135,185,222,270,333,370,555,666,999,1110,1665,1998,3330,4995,9990

Greatest Common Factor

We found the factors 9879,9990 . The biggest common factor number is the GCF number.
So the greatest common factor 9879,9990 is 111.

Lets's calculate LCM of 585,3655

5 585, 3655
117, 731

∴ So the LCM of the given numbers is 5 x 117 x 731 = 427635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 111/427635

Therefore, the GCF of Fractions 9879/585,9990/3655 is 111/427635

Least Common Multiple of 585,3655 with GCF Formula

Least Common Multiple of 585,3655 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 585,3655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,3655) = 5

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

GCF(585,3655) x common factors =5 x 1 = 5

LCM(585,3655) = ( 585 × 3655 ) / 5

LCM(585,3655) = 2138175 / 5

LCM(585,3655) = 427635


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 9879/585, 9990/3655

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 9879/585, 9990/3655?

Answer: GCF of Numerators as per given numbers 9879/585, 9990/3655 is

GCF of Numerators i.e. for 9879,9990 is 111

LCM of denominators i.e. for 585,3655 is 427635.

Thus, GCF of Fractions is 111/427635.Finally, GCF of Fractions for 9879/585, 9990/3655 is 111/427635.