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 235, 570, 36, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 235, 570, 36, 507 is 1
GCD(235, 570, 36, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 235, 570, 36, 507 is 1
GCD(235, 570, 36, 507) = 1
Given Input numbers are 235, 570, 36, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 235, 570, 36, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 570, 36, 507 is 1.
Therefore, GCD of numbers 235, 570, 36, 507 is 1
Given Input Data is 235, 570, 36, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 235 is 5 x 47
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 507 is 3 x 13 x 13
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(235, 570) = 26790
GCD(235, 570) = ( 235 x 570 ) / 26790
GCD(235, 570) = 133950 / 26790
GCD(235, 570) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 36) = 180
GCD(5, 36) = ( 5 x 36 ) / 180
GCD(5, 36) = 180 / 180
GCD(5, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
GCD of 235, 570, 36, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 235, 570, 36, 507?
GCD of 235, 570, 36, 507 is 1
2. Where do I get the detailed procedure to find GCD of 235, 570, 36, 507?
You can find a detailed procedure to find GCD of 235, 570, 36, 507 on our page.
3. How to find GCD of 235, 570, 36, 507 on a calculator?
You can find the GCD of 235, 570, 36, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.