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 212, 265, 216, 531 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 265, 216, 531 is 1
GCD(212, 265, 216, 531) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 265, 216, 531 is 1
GCD(212, 265, 216, 531) = 1
Given Input numbers are 212, 265, 216, 531
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Greatest Common Divisior
We found the divisors of 212, 265, 216, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 265, 216, 531 is 1.
Therefore, GCD of numbers 212, 265, 216, 531 is 1
Given Input Data is 212, 265, 216, 531
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 265 is 5 x 53
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 531 is 3 x 3 x 59
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(212, 265) = 1060
GCD(212, 265) = ( 212 x 265 ) / 1060
GCD(212, 265) = 56180 / 1060
GCD(212, 265) = 53
Step2:
Here we consider the GCD from the above i.e. 53 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(53, 216) = 11448
GCD(53, 216) = ( 53 x 216 ) / 11448
GCD(53, 216) = 11448 / 11448
GCD(53, 216) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 531) = 531
GCD(1, 531) = ( 1 x 531 ) / 531
GCD(1, 531) = 531 / 531
GCD(1, 531) = 1
GCD of 212, 265, 216, 531 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 265, 216, 531?
GCD of 212, 265, 216, 531 is 1
2. Where do I get the detailed procedure to find GCD of 212, 265, 216, 531?
You can find a detailed procedure to find GCD of 212, 265, 216, 531 on our page.
3. How to find GCD of 212, 265, 216, 531 on a calculator?
You can find the GCD of 212, 265, 216, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.