Greatest Common Factor of 99/81, 37/89, 13/30, 55/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/81, 37/89, 13/30, 55/659

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 99/81,37/89,13/30,55/659

Given fractions are 99/81,37/89,13/30,55/659

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 99,37,13,55

Greatest Common Factor of Numerators i.e. GCF of 99,37,13,55 is 1 .

LCM of Denominators means LCM of 81,89,30,659 as per the given fractions.

LCM of 81,89,30,659 is 47507310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,37,13,55

GCF of Fractions 99/81,37/89,13/30,55/659 is 1/47507310

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

Greatest Common Factor of 99,37,13,55 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,37,13,55 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Greatest Common Factor

We found the factors 99,37,13,55 . The biggest common factor number is the GCF number.
So the greatest common factor 99,37,13,55 is 1.

Lets's calculate LCM of 81,89,30,659

3 81, 89, 30, 659
27, 89, 10, 659

∴ So the LCM of the given numbers is 3 x 27 x 89 x 10 x 659 = 47507310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47507310

Therefore, the GCF of Fractions 99/81,37/89,13/30,55/659 is 1/47507310

Least Common Multiple of 81,89,30,659 with GCF Formula

Least Common Multiple of 81,89,30,659 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 81,89,30,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,89,30,659) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,89,30,659) x common factors =1 x 3 = 3

LCM(81,89,30,659) = ( 81 × 89 × 30 × 659 ) / 3

LCM(81,89,30,659) = 142521930 / 3

LCM(81,89,30,659) = 47507310


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 99/81, 37/89, 13/30, 55/659

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 99/81, 37/89, 13/30, 55/659?

Answer: GCF of Numerators as per given numbers 99/81, 37/89, 13/30, 55/659 is

GCF of Numerators i.e. for 99,37,13,55 is 1

LCM of denominators i.e. for 81,89,30,659 is 47507310.

Thus, GCF of Fractions is 1/47507310.Finally, GCF of Fractions for 99/81, 37/89, 13/30, 55/659 is 1/47507310.