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 581, 350, 20, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 581, 350, 20, 180 is 1
GCD(581, 350, 20, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 581, 350, 20, 180 is 1
GCD(581, 350, 20, 180) = 1
Given Input numbers are 581, 350, 20, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 581, 350, 20, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 581, 350, 20, 180 is 1.
Therefore, GCD of numbers 581, 350, 20, 180 is 1
Given Input Data is 581, 350, 20, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 581 is 7 x 83
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 180 is 2 x 2 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(581, 350) = 29050
GCD(581, 350) = ( 581 x 350 ) / 29050
GCD(581, 350) = 203350 / 29050
GCD(581, 350) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 20) = 140
GCD(7, 20) = ( 7 x 20 ) / 140
GCD(7, 20) = 140 / 140
GCD(7, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 581, 350, 20, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 581, 350, 20, 180?
GCD of 581, 350, 20, 180 is 1
2. Where do I get the detailed procedure to find GCD of 581, 350, 20, 180?
You can find a detailed procedure to find GCD of 581, 350, 20, 180 on our page.
3. How to find GCD of 581, 350, 20, 180 on a calculator?
You can find the GCD of 581, 350, 20, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.