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 495, 831, 29, 595 i.e. 1 largest integer that divides all the numbers equally.
GCD of 495, 831, 29, 595 is 1
GCD(495, 831, 29, 595) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 831, 29, 595 is 1
GCD(495, 831, 29, 595) = 1
Given Input numbers are 495, 831, 29, 595
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
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 495, 831, 29, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 831, 29, 595 is 1.
Therefore, GCD of numbers 495, 831, 29, 595 is 1
Given Input Data is 495, 831, 29, 595
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 831 is 3 x 277
Prime Factorization of 29 is 29
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(495, 831) = 137115
GCD(495, 831) = ( 495 x 831 ) / 137115
GCD(495, 831) = 411345 / 137115
GCD(495, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 29) = 87
GCD(3, 29) = ( 3 x 29 ) / 87
GCD(3, 29) = 87 / 87
GCD(3, 29) = 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 495, 831, 29, 595 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 495, 831, 29, 595?
GCD of 495, 831, 29, 595 is 1
2. Where do I get the detailed procedure to find GCD of 495, 831, 29, 595?
You can find a detailed procedure to find GCD of 495, 831, 29, 595 on our page.
3. How to find GCD of 495, 831, 29, 595 on a calculator?
You can find the GCD of 495, 831, 29, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.