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 195, 571, 218, 743 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 571, 218, 743 is 1
GCD(195, 571, 218, 743) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 571, 218, 743 is 1
GCD(195, 571, 218, 743) = 1
Given Input numbers are 195, 571, 218, 743
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Greatest Common Divisior
We found the divisors of 195, 571, 218, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 571, 218, 743 is 1.
Therefore, GCD of numbers 195, 571, 218, 743 is 1
Given Input Data is 195, 571, 218, 743
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 571 is 571
Prime Factorization of 218 is 2 x 109
Prime Factorization of 743 is 743
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(195, 571) = 111345
GCD(195, 571) = ( 195 x 571 ) / 111345
GCD(195, 571) = 111345 / 111345
GCD(195, 571) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
GCD of 195, 571, 218, 743 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 571, 218, 743?
GCD of 195, 571, 218, 743 is 1
2. Where do I get the detailed procedure to find GCD of 195, 571, 218, 743?
You can find a detailed procedure to find GCD of 195, 571, 218, 743 on our page.
3. How to find GCD of 195, 571, 218, 743 on a calculator?
You can find the GCD of 195, 571, 218, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.