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 591, 142, 60, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 591, 142, 60, 643 is 1
GCD(591, 142, 60, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 591, 142, 60, 643 is 1
GCD(591, 142, 60, 643) = 1
Given Input numbers are 591, 142, 60, 643
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 591, 142, 60, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 142, 60, 643 is 1.
Therefore, GCD of numbers 591, 142, 60, 643 is 1
Given Input Data is 591, 142, 60, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 591 is 3 x 197
Prime Factorization of 142 is 2 x 71
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 643 is 643
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(591, 142) = 83922
GCD(591, 142) = ( 591 x 142 ) / 83922
GCD(591, 142) = 83922 / 83922
GCD(591, 142) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
GCD of 591, 142, 60, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 591, 142, 60, 643?
GCD of 591, 142, 60, 643 is 1
2. Where do I get the detailed procedure to find GCD of 591, 142, 60, 643?
You can find a detailed procedure to find GCD of 591, 142, 60, 643 on our page.
3. How to find GCD of 591, 142, 60, 643 on a calculator?
You can find the GCD of 591, 142, 60, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.