Greatest Common Factor of 9099/20, 2707/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9099/20, 2707/214

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 9099/20,2707/214

Given fractions are 9099/20,2707/214

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 9099,2707

Greatest Common Factor of Numerators i.e. GCF of 9099,2707 is 1 .

LCM of Denominators means LCM of 20,214 as per the given fractions.

LCM of 20,214 is 2140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9099,2707

GCF of Fractions 9099/20,2707/214 is 1/2140

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

Greatest Common Factor of 9099,2707 By Matching Biggest Common Factor Method

Greatest Common Factor of 9099,2707 By Matching Biggest Common Factor Method

Factors of 9099

List of positive integer factors of 9099 that divides 9099 without a remainder.

1,3,9,27,337,1011,3033,9099

Factors of 2707

List of positive integer factors of 2707 that divides 2707 without a remainder.

1,2707

Greatest Common Factor

We found the factors 9099,2707 . The biggest common factor number is the GCF number.
So the greatest common factor 9099,2707 is 1.

Lets's calculate LCM of 20,214

2 20, 214
10, 107

∴ So the LCM of the given numbers is 2 x 10 x 107 = 2140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2140

Therefore, the GCF of Fractions 9099/20,2707/214 is 1/2140

Least Common Multiple of 20,214 with GCF Formula

Least Common Multiple of 20,214 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 20,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,214) = 2

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

GCF(20,214) x common factors =2 x 1 = 2

LCM(20,214) = ( 20 × 214 ) / 2

LCM(20,214) = 4280 / 2

LCM(20,214) = 2140


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 9099/20, 2707/214

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 9099/20, 2707/214?

Answer: GCF of Numerators as per given numbers 9099/20, 2707/214 is

GCF of Numerators i.e. for 9099,2707 is 1

LCM of denominators i.e. for 20,214 is 2140.

Thus, GCF of Fractions is 1/2140.Finally, GCF of Fractions for 9099/20, 2707/214 is 1/2140.