Greatest Common Factor of 203/209, 880/213, 503/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 203/209, 880/213, 503/744

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 203/209,880/213,503/744

Given fractions are 203/209,880/213,503/744

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 203,880,503

Greatest Common Factor of Numerators i.e. GCF of 203,880,503 is 1 .

LCM of Denominators means LCM of 209,213,744 as per the given fractions.

LCM of 209,213,744 is 11040216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 203,880,503

GCF of Fractions 203/209,880/213,503/744 is 1/11040216

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

Greatest Common Factor of 203,880,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,880,503 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 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 203,880,503 . The biggest common factor number is the GCF number.
So the greatest common factor 203,880,503 is 1.

Lets's calculate LCM of 209,213,744

3 209, 213, 744
209, 71, 248

∴ So the LCM of the given numbers is 3 x 209 x 71 x 248 = 11040216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11040216

Therefore, the GCF of Fractions 203/209,880/213,503/744 is 1/11040216

Least Common Multiple of 209,213,744 with GCF Formula

Least Common Multiple of 209,213,744 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 209,213,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,213,744) = 1

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

GCF(209,213,744) x common factors =1 x 3 = 3

LCM(209,213,744) = ( 209 × 213 × 744 ) / 3

LCM(209,213,744) = 33120648 / 3

LCM(209,213,744) = 11040216


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 203/209, 880/213, 503/744

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 203/209, 880/213, 503/744?

Answer: GCF of Numerators as per given numbers 203/209, 880/213, 503/744 is

GCF of Numerators i.e. for 203,880,503 is 1

LCM of denominators i.e. for 209,213,744 is 11040216.

Thus, GCF of Fractions is 1/11040216.Finally, GCF of Fractions for 203/209, 880/213, 503/744 is 1/11040216.