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 820, 628, 37, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 628, 37, 231 is 1
GCD(820, 628, 37, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 628, 37, 231 is 1
GCD(820, 628, 37, 231) = 1
Given Input numbers are 820, 628, 37, 231
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 820, 628, 37, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 628, 37, 231 is 1.
Therefore, GCD of numbers 820, 628, 37, 231 is 1
Given Input Data is 820, 628, 37, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 37 is 37
Prime Factorization of 231 is 3 x 7 x 11
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(820, 628) = 128740
GCD(820, 628) = ( 820 x 628 ) / 128740
GCD(820, 628) = 514960 / 128740
GCD(820, 628) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 37) = 148
GCD(4, 37) = ( 4 x 37 ) / 148
GCD(4, 37) = 148 / 148
GCD(4, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 820, 628, 37, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 628, 37, 231?
GCD of 820, 628, 37, 231 is 1
2. Where do I get the detailed procedure to find GCD of 820, 628, 37, 231?
You can find a detailed procedure to find GCD of 820, 628, 37, 231 on our page.
3. How to find GCD of 820, 628, 37, 231 on a calculator?
You can find the GCD of 820, 628, 37, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.