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 372, 229, 255, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 229, 255, 820 is 1
GCD(372, 229, 255, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 229, 255, 820 is 1
GCD(372, 229, 255, 820) = 1
Given Input numbers are 372, 229, 255, 820
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 372, 229, 255, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 229, 255, 820 is 1.
Therefore, GCD of numbers 372, 229, 255, 820 is 1
Given Input Data is 372, 229, 255, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 229 is 229
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 820 is 2 x 2 x 5 x 41
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(372, 229) = 85188
GCD(372, 229) = ( 372 x 229 ) / 85188
GCD(372, 229) = 85188 / 85188
GCD(372, 229) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 255) = 255
GCD(1, 255) = ( 1 x 255 ) / 255
GCD(1, 255) = 255 / 255
GCD(1, 255) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 372, 229, 255, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 229, 255, 820?
GCD of 372, 229, 255, 820 is 1
2. Where do I get the detailed procedure to find GCD of 372, 229, 255, 820?
You can find a detailed procedure to find GCD of 372, 229, 255, 820 on our page.
3. How to find GCD of 372, 229, 255, 820 on a calculator?
You can find the GCD of 372, 229, 255, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.