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 580, 168, 56, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 580, 168, 56, 529 is 1
GCD(580, 168, 56, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 168, 56, 529 is 1
GCD(580, 168, 56, 529) = 1
Given Input numbers are 580, 168, 56, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 580, 168, 56, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 168, 56, 529 is 1.
Therefore, GCD of numbers 580, 168, 56, 529 is 1
Given Input Data is 580, 168, 56, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 529 is 23 x 23
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(580, 168) = 24360
GCD(580, 168) = ( 580 x 168 ) / 24360
GCD(580, 168) = 97440 / 24360
GCD(580, 168) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 56) = 56
GCD(4, 56) = ( 4 x 56 ) / 56
GCD(4, 56) = 224 / 56
GCD(4, 56) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 529) = 2116
GCD(4, 529) = ( 4 x 529 ) / 2116
GCD(4, 529) = 2116 / 2116
GCD(4, 529) = 1
GCD of 580, 168, 56, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 168, 56, 529?
GCD of 580, 168, 56, 529 is 1
2. Where do I get the detailed procedure to find GCD of 580, 168, 56, 529?
You can find a detailed procedure to find GCD of 580, 168, 56, 529 on our page.
3. How to find GCD of 580, 168, 56, 529 on a calculator?
You can find the GCD of 580, 168, 56, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.