Greatest Common Factor of 199/20, 446/11, 121/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 199/20, 446/11, 121/686

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 199/20,446/11,121/686

Given fractions are 199/20,446/11,121/686

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 199,446,121

Greatest Common Factor of Numerators i.e. GCF of 199,446,121 is 1 .

LCM of Denominators means LCM of 20,11,686 as per the given fractions.

LCM of 20,11,686 is 75460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 199,446,121

GCF of Fractions 199/20,446/11,121/686 is 1/75460

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

Greatest Common Factor of 199,446,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,446,121 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 199,446,121 . The biggest common factor number is the GCF number.
So the greatest common factor 199,446,121 is 1.

Lets's calculate LCM of 20,11,686

2 20, 11, 686
10, 11, 343

∴ So the LCM of the given numbers is 2 x 10 x 11 x 343 = 75460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75460

Therefore, the GCF of Fractions 199/20,446/11,121/686 is 1/75460

Least Common Multiple of 20,11,686 with GCF Formula

Least Common Multiple of 20,11,686 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 20,11,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,11,686) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,11,686) x common factors =1 x 2 = 2

LCM(20,11,686) = ( 20 × 11 × 686 ) / 2

LCM(20,11,686) = 150920 / 2

LCM(20,11,686) = 75460


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 199/20, 446/11, 121/686

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 199/20, 446/11, 121/686?

Answer: GCF of Numerators as per given numbers 199/20, 446/11, 121/686 is

GCF of Numerators i.e. for 199,446,121 is 1

LCM of denominators i.e. for 20,11,686 is 75460.

Thus, GCF of Fractions is 1/75460.Finally, GCF of Fractions for 199/20, 446/11, 121/686 is 1/75460.