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 232, 821, 580, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 232, 821, 580, 104 is 1
GCD(232, 821, 580, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 232, 821, 580, 104 is 1
GCD(232, 821, 580, 104) = 1
Given Input numbers are 232, 821, 580, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 232, 821, 580, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 821, 580, 104 is 1.
Therefore, GCD of numbers 232, 821, 580, 104 is 1
Given Input Data is 232, 821, 580, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 821 is 821
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 104 is 2 x 2 x 2 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(232, 821) = 190472
GCD(232, 821) = ( 232 x 821 ) / 190472
GCD(232, 821) = 190472 / 190472
GCD(232, 821) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
GCD(1, 580) = 580 / 580
GCD(1, 580) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 232, 821, 580, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 232, 821, 580, 104?
GCD of 232, 821, 580, 104 is 1
2. Where do I get the detailed procedure to find GCD of 232, 821, 580, 104?
You can find a detailed procedure to find GCD of 232, 821, 580, 104 on our page.
3. How to find GCD of 232, 821, 580, 104 on a calculator?
You can find the GCD of 232, 821, 580, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.