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 205, 953, 125, 580 i.e. 1 largest integer that divides all the numbers equally.
GCD of 205, 953, 125, 580 is 1
GCD(205, 953, 125, 580) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 205, 953, 125, 580 is 1
GCD(205, 953, 125, 580) = 1
Given Input numbers are 205, 953, 125, 580
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
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
Greatest Common Divisior
We found the divisors of 205, 953, 125, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 953, 125, 580 is 1.
Therefore, GCD of numbers 205, 953, 125, 580 is 1
Given Input Data is 205, 953, 125, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 205 is 5 x 41
Prime Factorization of 953 is 953
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 580 is 2 x 2 x 5 x 29
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(205, 953) = 195365
GCD(205, 953) = ( 205 x 953 ) / 195365
GCD(205, 953) = 195365 / 195365
GCD(205, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
GCD(1, 580) = 580 / 580
GCD(1, 580) = 1
GCD of 205, 953, 125, 580 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 205, 953, 125, 580?
GCD of 205, 953, 125, 580 is 1
2. Where do I get the detailed procedure to find GCD of 205, 953, 125, 580?
You can find a detailed procedure to find GCD of 205, 953, 125, 580 on our page.
3. How to find GCD of 205, 953, 125, 580 on a calculator?
You can find the GCD of 205, 953, 125, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.