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 258, 621, 10, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 258, 621, 10, 366 is 1
GCD(258, 621, 10, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 258, 621, 10, 366 is 1
GCD(258, 621, 10, 366) = 1
Given Input numbers are 258, 621, 10, 366
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 258, 621, 10, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 621, 10, 366 is 1.
Therefore, GCD of numbers 258, 621, 10, 366 is 1
Given Input Data is 258, 621, 10, 366
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 10 is 2 x 5
Prime Factorization of 366 is 2 x 3 x 61
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(258, 621) = 53406
GCD(258, 621) = ( 258 x 621 ) / 53406
GCD(258, 621) = 160218 / 53406
GCD(258, 621) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 10) = 30
GCD(3, 10) = ( 3 x 10 ) / 30
GCD(3, 10) = 30 / 30
GCD(3, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 258, 621, 10, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 258, 621, 10, 366?
GCD of 258, 621, 10, 366 is 1
2. Where do I get the detailed procedure to find GCD of 258, 621, 10, 366?
You can find a detailed procedure to find GCD of 258, 621, 10, 366 on our page.
3. How to find GCD of 258, 621, 10, 366 on a calculator?
You can find the GCD of 258, 621, 10, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.