Greatest Common Factor of 990/72, 164/97, 786/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 990/72, 164/97, 786/729

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 990/72,164/97,786/729

Given fractions are 990/72,164/97,786/729

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 990,164,786

Greatest Common Factor of Numerators i.e. GCF of 990,164,786 is 2 .

LCM of Denominators means LCM of 72,97,729 as per the given fractions.

LCM of 72,97,729 is 565704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 990,164,786

GCF of Fractions 990/72,164/97,786/729 is 2/565704

2 990, 164, 786
495, 82, 393

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 990,164,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,164,786 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 990,164,786 . The biggest common factor number is the GCF number.
So the greatest common factor 990,164,786 is 2.

Lets's calculate LCM of 72,97,729

3 72, 97, 729
3 24, 97, 243
8, 97, 81

∴ So the LCM of the given numbers is 3 x 3 x 8 x 97 x 81 = 565704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/565704

Therefore, the GCF of Fractions 990/72,164/97,786/729 is 2/565704

Least Common Multiple of 72,97,729 with GCF Formula

Least Common Multiple of 72,97,729 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 72,97,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,97,729) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(72,97,729) x common factors =1 x 9 = 9

LCM(72,97,729) = ( 72 × 97 × 729 ) / 9

LCM(72,97,729) = 5091336 / 9

LCM(72,97,729) = 565704


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 990/72, 164/97, 786/729

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 990/72, 164/97, 786/729?

Answer: GCF of Numerators as per given numbers 990/72, 164/97, 786/729 is

GCF of Numerators i.e. for 990,164,786 is 2

LCM of denominators i.e. for 72,97,729 is 565704.

Thus, GCF of Fractions is 2/565704.Finally, GCF of Fractions for 990/72, 164/97, 786/729 is 2/565704.