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 595, 820, 133, 128 i.e. 1 largest integer that divides all the numbers equally.
GCD of 595, 820, 133, 128 is 1
GCD(595, 820, 133, 128) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 595, 820, 133, 128 is 1
GCD(595, 820, 133, 128) = 1
Given Input numbers are 595, 820, 133, 128
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Greatest Common Divisior
We found the divisors of 595, 820, 133, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 820, 133, 128 is 1.
Therefore, GCD of numbers 595, 820, 133, 128 is 1
Given Input Data is 595, 820, 133, 128
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 133 is 7 x 19
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
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(595, 820) = 97580
GCD(595, 820) = ( 595 x 820 ) / 97580
GCD(595, 820) = 487900 / 97580
GCD(595, 820) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 133) = 665
GCD(5, 133) = ( 5 x 133 ) / 665
GCD(5, 133) = 665 / 665
GCD(5, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 128) = 128
GCD(1, 128) = ( 1 x 128 ) / 128
GCD(1, 128) = 128 / 128
GCD(1, 128) = 1
GCD of 595, 820, 133, 128 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 595, 820, 133, 128?
GCD of 595, 820, 133, 128 is 1
2. Where do I get the detailed procedure to find GCD of 595, 820, 133, 128?
You can find a detailed procedure to find GCD of 595, 820, 133, 128 on our page.
3. How to find GCD of 595, 820, 133, 128 on a calculator?
You can find the GCD of 595, 820, 133, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.