Greatest Common Factor of 203/82, 284/19, 302/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 203/82, 284/19, 302/715

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 203/82,284/19,302/715

Given fractions are 203/82,284/19,302/715

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 203,284,302

Greatest Common Factor of Numerators i.e. GCF of 203,284,302 is 1 .

LCM of Denominators means LCM of 82,19,715 as per the given fractions.

LCM of 82,19,715 is 1113970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 203,284,302

GCF of Fractions 203/82,284/19,302/715 is 1/1113970

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

Greatest Common Factor of 203,284,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,284,302 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

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 203,284,302 . The biggest common factor number is the GCF number.
So the greatest common factor 203,284,302 is 1.

Lets's calculate LCM of 82,19,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 1113970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1113970

Therefore, the GCF of Fractions 203/82,284/19,302/715 is 1/1113970

Least Common Multiple of 82,19,715 with GCF Formula

Least Common Multiple of 82,19,715 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 82,19,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,19,715) = 1

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

GCF(82,19,715) x common factors =1 x 1 = 1

LCM(82,19,715) = ( 82 × 19 × 715 ) / 1

LCM(82,19,715) = 1113970 / 1

LCM(82,19,715) = 1113970


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 203/82, 284/19, 302/715

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 203/82, 284/19, 302/715?

Answer: GCF of Numerators as per given numbers 203/82, 284/19, 302/715 is

GCF of Numerators i.e. for 203,284,302 is 1

LCM of denominators i.e. for 82,19,715 is 1113970.

Thus, GCF of Fractions is 1/1113970.Finally, GCF of Fractions for 203/82, 284/19, 302/715 is 1/1113970.