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 237, 132, 72, 556 i.e. 1 largest integer that divides all the numbers equally.
GCD of 237, 132, 72, 556 is 1
GCD(237, 132, 72, 556) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 237, 132, 72, 556 is 1
GCD(237, 132, 72, 556) = 1
Given Input numbers are 237, 132, 72, 556
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Greatest Common Divisior
We found the divisors of 237, 132, 72, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 132, 72, 556 is 1.
Therefore, GCD of numbers 237, 132, 72, 556 is 1
Given Input Data is 237, 132, 72, 556
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 237 is 3 x 79
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 556 is 2 x 2 x 139
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(237, 132) = 10428
GCD(237, 132) = ( 237 x 132 ) / 10428
GCD(237, 132) = 31284 / 10428
GCD(237, 132) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
GCD(3, 72) = 216 / 72
GCD(3, 72) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 556) = 1668
GCD(3, 556) = ( 3 x 556 ) / 1668
GCD(3, 556) = 1668 / 1668
GCD(3, 556) = 1
GCD of 237, 132, 72, 556 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 237, 132, 72, 556?
GCD of 237, 132, 72, 556 is 1
2. Where do I get the detailed procedure to find GCD of 237, 132, 72, 556?
You can find a detailed procedure to find GCD of 237, 132, 72, 556 on our page.
3. How to find GCD of 237, 132, 72, 556 on a calculator?
You can find the GCD of 237, 132, 72, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.