Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 209, 311, 73, 747 i.e. 1 largest integer that divides all the numbers equally.
GCD of 209, 311, 73, 747 is 1
GCD(209, 311, 73, 747) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 209, 311, 73, 747 is 1
GCD(209, 311, 73, 747) = 1
Given Input numbers are 209, 311, 73, 747
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Greatest Common Divisior
We found the divisors of 209, 311, 73, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 311, 73, 747 is 1.
Therefore, GCD of numbers 209, 311, 73, 747 is 1
Given Input Data is 209, 311, 73, 747
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 209 is 11 x 19
Prime Factorization of 311 is 311
Prime Factorization of 73 is 73
Prime Factorization of 747 is 3 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(209, 311) = 64999
GCD(209, 311) = ( 209 x 311 ) / 64999
GCD(209, 311) = 64999 / 64999
GCD(209, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
GCD(1, 747) = 747 / 747
GCD(1, 747) = 1
GCD of 209, 311, 73, 747 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 209, 311, 73, 747?
GCD of 209, 311, 73, 747 is 1
2. Where do I get the detailed procedure to find GCD of 209, 311, 73, 747?
You can find a detailed procedure to find GCD of 209, 311, 73, 747 on our page.
3. How to find GCD of 209, 311, 73, 747 on a calculator?
You can find the GCD of 209, 311, 73, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.