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 220, 113, 486, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 113, 486, 405 is 1
GCD(220, 113, 486, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 113, 486, 405 is 1
GCD(220, 113, 486, 405) = 1
Given Input numbers are 220, 113, 486, 405
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 220, 113, 486, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 113, 486, 405 is 1.
Therefore, GCD of numbers 220, 113, 486, 405 is 1
Given Input Data is 220, 113, 486, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 113 is 113
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
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(220, 113) = 24860
GCD(220, 113) = ( 220 x 113 ) / 24860
GCD(220, 113) = 24860 / 24860
GCD(220, 113) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 486) = 486
GCD(1, 486) = ( 1 x 486 ) / 486
GCD(1, 486) = 486 / 486
GCD(1, 486) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
GCD of 220, 113, 486, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 113, 486, 405?
GCD of 220, 113, 486, 405 is 1
2. Where do I get the detailed procedure to find GCD of 220, 113, 486, 405?
You can find a detailed procedure to find GCD of 220, 113, 486, 405 on our page.
3. How to find GCD of 220, 113, 486, 405 on a calculator?
You can find the GCD of 220, 113, 486, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.