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, 636, 587, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 636, 587, 111 is 1
GCD(195, 636, 587, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 636, 587, 111 is 1
GCD(195, 636, 587, 111) = 1
Given Input numbers are 195, 636, 587, 111
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 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 195, 636, 587, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 636, 587, 111 is 1.
Therefore, GCD of numbers 195, 636, 587, 111 is 1
Given Input Data is 195, 636, 587, 111
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 636 is 2 x 2 x 3 x 53
Prime Factorization of 587 is 587
Prime Factorization of 111 is 3 x 37
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, 636) = 41340
GCD(195, 636) = ( 195 x 636 ) / 41340
GCD(195, 636) = 124020 / 41340
GCD(195, 636) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 587) = 1761
GCD(3, 587) = ( 3 x 587 ) / 1761
GCD(3, 587) = 1761 / 1761
GCD(3, 587) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
GCD of 195, 636, 587, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 636, 587, 111?
GCD of 195, 636, 587, 111 is 1
2. Where do I get the detailed procedure to find GCD of 195, 636, 587, 111?
You can find a detailed procedure to find GCD of 195, 636, 587, 111 on our page.
3. How to find GCD of 195, 636, 587, 111 on a calculator?
You can find the GCD of 195, 636, 587, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.