Greatest Common Factor of 9990/55, 9189/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9990/55, 9189/994

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 9990/55,9189/994

Given fractions are 9990/55,9189/994

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 9990,9189

Greatest Common Factor of Numerators i.e. GCF of 9990,9189 is 9 .

LCM of Denominators means LCM of 55,994 as per the given fractions.

LCM of 55,994 is 54670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9990,9189

GCF of Fractions 9990/55,9189/994 is 9/54670

3 9990, 9189
3 3330, 3063
1110, 1021

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 9990,9189 By Matching Biggest Common Factor Method

Greatest Common Factor of 9990,9189 By Matching Biggest Common Factor Method

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

Factors of 9189

List of positive integer factors of 9189 that divides 9189 without a remainder.

1,3,9,1021,3063,9189

Greatest Common Factor

We found the factors 9990,9189 . The biggest common factor number is the GCF number.
So the greatest common factor 9990,9189 is 9.

Lets's calculate LCM of 55,994

Given numbers has no common factors except 1. So, there LCM is their product i.e 54670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/54670

Therefore, the GCF of Fractions 9990/55,9189/994 is 9/54670

Least Common Multiple of 55,994 with GCF Formula

Least Common Multiple of 55,994 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 55,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,994) = 1

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

GCF(55,994) x common factors =1 x 1 = 1

LCM(55,994) = ( 55 × 994 ) / 1

LCM(55,994) = 54670 / 1

LCM(55,994) = 54670


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 9990/55, 9189/994

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 9990/55, 9189/994?

Answer: GCF of Numerators as per given numbers 9990/55, 9189/994 is

GCF of Numerators i.e. for 9990,9189 is 9

LCM of denominators i.e. for 55,994 is 54670.

Thus, GCF of Fractions is 9/54670.Finally, GCF of Fractions for 9990/55, 9189/994 is 9/54670.