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 724, 203, 39, 268 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 203, 39, 268 is 1
GCD(724, 203, 39, 268) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 203, 39, 268 is 1
GCD(724, 203, 39, 268) = 1
Given Input numbers are 724, 203, 39, 268
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Greatest Common Divisior
We found the divisors of 724, 203, 39, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 203, 39, 268 is 1.
Therefore, GCD of numbers 724, 203, 39, 268 is 1
Given Input Data is 724, 203, 39, 268
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 203 is 7 x 29
Prime Factorization of 39 is 3 x 13
Prime Factorization of 268 is 2 x 2 x 67
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(724, 203) = 146972
GCD(724, 203) = ( 724 x 203 ) / 146972
GCD(724, 203) = 146972 / 146972
GCD(724, 203) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
GCD(1, 268) = 268 / 268
GCD(1, 268) = 1
GCD of 724, 203, 39, 268 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 203, 39, 268?
GCD of 724, 203, 39, 268 is 1
2. Where do I get the detailed procedure to find GCD of 724, 203, 39, 268?
You can find a detailed procedure to find GCD of 724, 203, 39, 268 on our page.
3. How to find GCD of 724, 203, 39, 268 on a calculator?
You can find the GCD of 724, 203, 39, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.