Greatest Common Factor of 20/84, 99/41, 914/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/84, 99/41, 914/180

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 20/84,99/41,914/180

Given fractions are 20/84,99/41,914/180

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 20,99,914

Greatest Common Factor of Numerators i.e. GCF of 20,99,914 is 1 .

LCM of Denominators means LCM of 84,41,180 as per the given fractions.

LCM of 84,41,180 is 51660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,99,914

GCF of Fractions 20/84,99/41,914/180 is 1/51660

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

Greatest Common Factor of 20,99,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,99,914 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 99

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

1,3,9,11,33,99

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 20,99,914 . The biggest common factor number is the GCF number.
So the greatest common factor 20,99,914 is 1.

Lets's calculate LCM of 84,41,180

2 84, 41, 180
2 42, 41, 90
3 21, 41, 45
7, 41, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 41 x 15 = 51660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51660

Therefore, the GCF of Fractions 20/84,99/41,914/180 is 1/51660

Least Common Multiple of 84,41,180 with GCF Formula

Least Common Multiple of 84,41,180 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 84,41,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,41,180) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,41,180) x common factors =1 x 12 = 12

LCM(84,41,180) = ( 84 × 41 × 180 ) / 12

LCM(84,41,180) = 619920 / 12

LCM(84,41,180) = 51660


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 20/84, 99/41, 914/180

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 20/84, 99/41, 914/180?

Answer: GCF of Numerators as per given numbers 20/84, 99/41, 914/180 is

GCF of Numerators i.e. for 20,99,914 is 1

LCM of denominators i.e. for 84,41,180 is 51660.

Thus, GCF of Fractions is 1/51660.Finally, GCF of Fractions for 20/84, 99/41, 914/180 is 1/51660.