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 201, 315, 396, 577 i.e. 1 largest integer that divides all the numbers equally.
GCD of 201, 315, 396, 577 is 1
GCD(201, 315, 396, 577) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 201, 315, 396, 577 is 1
GCD(201, 315, 396, 577) = 1
Given Input numbers are 201, 315, 396, 577
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Greatest Common Divisior
We found the divisors of 201, 315, 396, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 315, 396, 577 is 1.
Therefore, GCD of numbers 201, 315, 396, 577 is 1
Given Input Data is 201, 315, 396, 577
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 201 is 3 x 67
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 577 is 577
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(201, 315) = 21105
GCD(201, 315) = ( 201 x 315 ) / 21105
GCD(201, 315) = 63315 / 21105
GCD(201, 315) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 396) = 396
GCD(3, 396) = ( 3 x 396 ) / 396
GCD(3, 396) = 1188 / 396
GCD(3, 396) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 577) = 1731
GCD(3, 577) = ( 3 x 577 ) / 1731
GCD(3, 577) = 1731 / 1731
GCD(3, 577) = 1
GCD of 201, 315, 396, 577 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 201, 315, 396, 577?
GCD of 201, 315, 396, 577 is 1
2. Where do I get the detailed procedure to find GCD of 201, 315, 396, 577?
You can find a detailed procedure to find GCD of 201, 315, 396, 577 on our page.
3. How to find GCD of 201, 315, 396, 577 on a calculator?
You can find the GCD of 201, 315, 396, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.