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, 725, 85, 582 i.e. 1 largest integer that divides all the numbers equally.
GCD of 201, 725, 85, 582 is 1
GCD(201, 725, 85, 582) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 201, 725, 85, 582 is 1
GCD(201, 725, 85, 582) = 1
Given Input numbers are 201, 725, 85, 582
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 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Greatest Common Divisior
We found the divisors of 201, 725, 85, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 725, 85, 582 is 1.
Therefore, GCD of numbers 201, 725, 85, 582 is 1
Given Input Data is 201, 725, 85, 582
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 201 is 3 x 67
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 85 is 5 x 17
Prime Factorization of 582 is 2 x 3 x 97
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, 725) = 145725
GCD(201, 725) = ( 201 x 725 ) / 145725
GCD(201, 725) = 145725 / 145725
GCD(201, 725) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 582) = 582
GCD(1, 582) = ( 1 x 582 ) / 582
GCD(1, 582) = 582 / 582
GCD(1, 582) = 1
GCD of 201, 725, 85, 582 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 201, 725, 85, 582?
GCD of 201, 725, 85, 582 is 1
2. Where do I get the detailed procedure to find GCD of 201, 725, 85, 582?
You can find a detailed procedure to find GCD of 201, 725, 85, 582 on our page.
3. How to find GCD of 201, 725, 85, 582 on a calculator?
You can find the GCD of 201, 725, 85, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.