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 208, 724, 20, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 208, 724, 20, 605 is 1
GCD(208, 724, 20, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 208, 724, 20, 605 is 1
GCD(208, 724, 20, 605) = 1
Given Input numbers are 208, 724, 20, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 208, 724, 20, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 724, 20, 605 is 1.
Therefore, GCD of numbers 208, 724, 20, 605 is 1
Given Input Data is 208, 724, 20, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 605 is 5 x 11 x 11
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(208, 724) = 37648
GCD(208, 724) = ( 208 x 724 ) / 37648
GCD(208, 724) = 150592 / 37648
GCD(208, 724) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 20) = 20
GCD(4, 20) = ( 4 x 20 ) / 20
GCD(4, 20) = 80 / 20
GCD(4, 20) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 605) = 2420
GCD(4, 605) = ( 4 x 605 ) / 2420
GCD(4, 605) = 2420 / 2420
GCD(4, 605) = 1
GCD of 208, 724, 20, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 208, 724, 20, 605?
GCD of 208, 724, 20, 605 is 1
2. Where do I get the detailed procedure to find GCD of 208, 724, 20, 605?
You can find a detailed procedure to find GCD of 208, 724, 20, 605 on our page.
3. How to find GCD of 208, 724, 20, 605 on a calculator?
You can find the GCD of 208, 724, 20, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.