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, 622, 586, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 622, 586, 555 is 1
GCD(220, 622, 586, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 622, 586, 555 is 1
GCD(220, 622, 586, 555) = 1
Given Input numbers are 220, 622, 586, 555
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 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 220, 622, 586, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 622, 586, 555 is 1.
Therefore, GCD of numbers 220, 622, 586, 555 is 1
Given Input Data is 220, 622, 586, 555
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 622 is 2 x 311
Prime Factorization of 586 is 2 x 293
Prime Factorization of 555 is 3 x 5 x 37
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, 622) = 68420
GCD(220, 622) = ( 220 x 622 ) / 68420
GCD(220, 622) = 136840 / 68420
GCD(220, 622) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 586
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 586) = 586
GCD(2, 586) = ( 2 x 586 ) / 586
GCD(2, 586) = 1172 / 586
GCD(2, 586) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 555) = 1110
GCD(2, 555) = ( 2 x 555 ) / 1110
GCD(2, 555) = 1110 / 1110
GCD(2, 555) = 1
GCD of 220, 622, 586, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 622, 586, 555?
GCD of 220, 622, 586, 555 is 1
2. Where do I get the detailed procedure to find GCD of 220, 622, 586, 555?
You can find a detailed procedure to find GCD of 220, 622, 586, 555 on our page.
3. How to find GCD of 220, 622, 586, 555 on a calculator?
You can find the GCD of 220, 622, 586, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.