Greatest Common Factor of 99/25, 802/18, 660/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/25, 802/18, 660/731

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 99/25,802/18,660/731

Given fractions are 99/25,802/18,660/731

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 99,802,660

Greatest Common Factor of Numerators i.e. GCF of 99,802,660 is 1 .

LCM of Denominators means LCM of 25,18,731 as per the given fractions.

LCM of 25,18,731 is 328950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,802,660

GCF of Fractions 99/25,802/18,660/731 is 1/328950

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 99,802,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,802,660 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 99,802,660 . The biggest common factor number is the GCF number.
So the greatest common factor 99,802,660 is 1.

Lets's calculate LCM of 25,18,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 328950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328950

Therefore, the GCF of Fractions 99/25,802/18,660/731 is 1/328950

Least Common Multiple of 25,18,731 with GCF Formula

Least Common Multiple of 25,18,731 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 25,18,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,18,731) = 1

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

GCF(25,18,731) x common factors =1 x 1 = 1

LCM(25,18,731) = ( 25 × 18 × 731 ) / 1

LCM(25,18,731) = 328950 / 1

LCM(25,18,731) = 328950


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 99/25, 802/18, 660/731

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 99/25, 802/18, 660/731?

Answer: GCF of Numerators as per given numbers 99/25, 802/18, 660/731 is

GCF of Numerators i.e. for 99,802,660 is 1

LCM of denominators i.e. for 25,18,731 is 328950.

Thus, GCF of Fractions is 1/328950.Finally, GCF of Fractions for 99/25, 802/18, 660/731 is 1/328950.