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, 984, 125, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 580, 984, 125, 468 is 1
GCD(580, 984, 125, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 984, 125, 468 is 1
GCD(580, 984, 125, 468) = 1
Given Input numbers are 580, 984, 125, 468
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 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 580, 984, 125, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 984, 125, 468 is 1.
Therefore, GCD of numbers 580, 984, 125, 468 is 1
Given Input Data is 580, 984, 125, 468
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 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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, 984) = 142680
GCD(580, 984) = ( 580 x 984 ) / 142680
GCD(580, 984) = 570720 / 142680
GCD(580, 984) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 125) = 500
GCD(4, 125) = ( 4 x 125 ) / 500
GCD(4, 125) = 500 / 500
GCD(4, 125) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 580, 984, 125, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 984, 125, 468?
GCD of 580, 984, 125, 468 is 1
2. Where do I get the detailed procedure to find GCD of 580, 984, 125, 468?
You can find a detailed procedure to find GCD of 580, 984, 125, 468 on our page.
3. How to find GCD of 580, 984, 125, 468 on a calculator?
You can find the GCD of 580, 984, 125, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.