Greatest Common Factor of 202/99, 321/95, 302/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 202/99, 321/95, 302/564

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 202/99,321/95,302/564

Given fractions are 202/99,321/95,302/564

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 202,321,302

Greatest Common Factor of Numerators i.e. GCF of 202,321,302 is 1 .

LCM of Denominators means LCM of 99,95,564 as per the given fractions.

LCM of 99,95,564 is 1768140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 202,321,302

GCF of Fractions 202/99,321/95,302/564 is 1/1768140

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

Greatest Common Factor of 202,321,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,321,302 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 202,321,302 . The biggest common factor number is the GCF number.
So the greatest common factor 202,321,302 is 1.

Lets's calculate LCM of 99,95,564

3 99, 95, 564
33, 95, 188

∴ So the LCM of the given numbers is 3 x 33 x 95 x 188 = 1768140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1768140

Therefore, the GCF of Fractions 202/99,321/95,302/564 is 1/1768140

Least Common Multiple of 99,95,564 with GCF Formula

Least Common Multiple of 99,95,564 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 99,95,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,95,564) = 1

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

GCF(99,95,564) x common factors =1 x 3 = 3

LCM(99,95,564) = ( 99 × 95 × 564 ) / 3

LCM(99,95,564) = 5304420 / 3

LCM(99,95,564) = 1768140


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 202/99, 321/95, 302/564

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 202/99, 321/95, 302/564?

Answer: GCF of Numerators as per given numbers 202/99, 321/95, 302/564 is

GCF of Numerators i.e. for 202,321,302 is 1

LCM of denominators i.e. for 99,95,564 is 1768140.

Thus, GCF of Fractions is 1/1768140.Finally, GCF of Fractions for 202/99, 321/95, 302/564 is 1/1768140.