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 59, 218, 195, 711 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 218, 195, 711 is 1
GCD(59, 218, 195, 711) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 218, 195, 711 is 1
GCD(59, 218, 195, 711) = 1
Given Input numbers are 59, 218, 195, 711
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
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 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Greatest Common Divisior
We found the divisors of 59, 218, 195, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 218, 195, 711 is 1.
Therefore, GCD of numbers 59, 218, 195, 711 is 1
Given Input Data is 59, 218, 195, 711
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 218 is 2 x 109
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 711 is 3 x 3 x 79
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(59, 218) = 12862
GCD(59, 218) = ( 59 x 218 ) / 12862
GCD(59, 218) = 12862 / 12862
GCD(59, 218) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 711) = 711
GCD(1, 711) = ( 1 x 711 ) / 711
GCD(1, 711) = 711 / 711
GCD(1, 711) = 1
GCD of 59, 218, 195, 711 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 218, 195, 711?
GCD of 59, 218, 195, 711 is 1
2. Where do I get the detailed procedure to find GCD of 59, 218, 195, 711?
You can find a detailed procedure to find GCD of 59, 218, 195, 711 on our page.
3. How to find GCD of 59, 218, 195, 711 on a calculator?
You can find the GCD of 59, 218, 195, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.