Greatest Common Factor of 990/47, 794/99, 243/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 990/47, 794/99, 243/201

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 990/47,794/99,243/201

Given fractions are 990/47,794/99,243/201

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 990,794,243

Greatest Common Factor of Numerators i.e. GCF of 990,794,243 is 1 .

LCM of Denominators means LCM of 47,99,201 as per the given fractions.

LCM of 47,99,201 is 311751 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 990,794,243

GCF of Fractions 990/47,794/99,243/201 is 1/311751

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

Greatest Common Factor of 990,794,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,794,243 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 990,794,243 . The biggest common factor number is the GCF number.
So the greatest common factor 990,794,243 is 1.

Lets's calculate LCM of 47,99,201

3 47, 99, 201
47, 33, 67

∴ So the LCM of the given numbers is 3 x 47 x 33 x 67 = 311751

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311751

Therefore, the GCF of Fractions 990/47,794/99,243/201 is 1/311751

Least Common Multiple of 47,99,201 with GCF Formula

Least Common Multiple of 47,99,201 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 47,99,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,99,201) = 1

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

GCF(47,99,201) x common factors =1 x 3 = 3

LCM(47,99,201) = ( 47 × 99 × 201 ) / 3

LCM(47,99,201) = 935253 / 3

LCM(47,99,201) = 311751


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 990/47, 794/99, 243/201

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 990/47, 794/99, 243/201?

Answer: GCF of Numerators as per given numbers 990/47, 794/99, 243/201 is

GCF of Numerators i.e. for 990,794,243 is 1

LCM of denominators i.e. for 47,99,201 is 311751.

Thus, GCF of Fractions is 1/311751.Finally, GCF of Fractions for 990/47, 794/99, 243/201 is 1/311751.