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 203, 464, 133, 595 i.e. 1 largest integer that divides all the numbers equally.
GCD of 203, 464, 133, 595 is 1
GCD(203, 464, 133, 595) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 203, 464, 133, 595 is 1
GCD(203, 464, 133, 595) = 1
Given Input numbers are 203, 464, 133, 595
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Greatest Common Divisior
We found the divisors of 203, 464, 133, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 464, 133, 595 is 1.
Therefore, GCD of numbers 203, 464, 133, 595 is 1
Given Input Data is 203, 464, 133, 595
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 203 is 7 x 29
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 133 is 7 x 19
Prime Factorization of 595 is 5 x 7 x 17
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(203, 464) = 3248
GCD(203, 464) = ( 203 x 464 ) / 3248
GCD(203, 464) = 94192 / 3248
GCD(203, 464) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 133) = 3857
GCD(29, 133) = ( 29 x 133 ) / 3857
GCD(29, 133) = 3857 / 3857
GCD(29, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 595) = 595
GCD(1, 595) = ( 1 x 595 ) / 595
GCD(1, 595) = 595 / 595
GCD(1, 595) = 1
GCD of 203, 464, 133, 595 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 203, 464, 133, 595?
GCD of 203, 464, 133, 595 is 1
2. Where do I get the detailed procedure to find GCD of 203, 464, 133, 595?
You can find a detailed procedure to find GCD of 203, 464, 133, 595 on our page.
3. How to find GCD of 203, 464, 133, 595 on a calculator?
You can find the GCD of 203, 464, 133, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.