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 587, 210, 17, 852 i.e. 1 largest integer that divides all the numbers equally.
GCD of 587, 210, 17, 852 is 1
GCD(587, 210, 17, 852) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 587, 210, 17, 852 is 1
GCD(587, 210, 17, 852) = 1
Given Input numbers are 587, 210, 17, 852
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Greatest Common Divisior
We found the divisors of 587, 210, 17, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 587, 210, 17, 852 is 1.
Therefore, GCD of numbers 587, 210, 17, 852 is 1
Given Input Data is 587, 210, 17, 852
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 587 is 587
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 17 is 17
Prime Factorization of 852 is 2 x 2 x 3 x 71
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(587, 210) = 123270
GCD(587, 210) = ( 587 x 210 ) / 123270
GCD(587, 210) = 123270 / 123270
GCD(587, 210) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
GCD of 587, 210, 17, 852 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 587, 210, 17, 852?
GCD of 587, 210, 17, 852 is 1
2. Where do I get the detailed procedure to find GCD of 587, 210, 17, 852?
You can find a detailed procedure to find GCD of 587, 210, 17, 852 on our page.
3. How to find GCD of 587, 210, 17, 852 on a calculator?
You can find the GCD of 587, 210, 17, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.