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 462, 897, 41, 591 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 897, 41, 591 is 1
GCD(462, 897, 41, 591) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 897, 41, 591 is 1
GCD(462, 897, 41, 591) = 1
Given Input numbers are 462, 897, 41, 591
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Greatest Common Divisior
We found the divisors of 462, 897, 41, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 897, 41, 591 is 1.
Therefore, GCD of numbers 462, 897, 41, 591 is 1
Given Input Data is 462, 897, 41, 591
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 41 is 41
Prime Factorization of 591 is 3 x 197
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(462, 897) = 138138
GCD(462, 897) = ( 462 x 897 ) / 138138
GCD(462, 897) = 414414 / 138138
GCD(462, 897) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 41) = 123
GCD(3, 41) = ( 3 x 41 ) / 123
GCD(3, 41) = 123 / 123
GCD(3, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 591) = 591
GCD(1, 591) = ( 1 x 591 ) / 591
GCD(1, 591) = 591 / 591
GCD(1, 591) = 1
GCD of 462, 897, 41, 591 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 462, 897, 41, 591?
GCD of 462, 897, 41, 591 is 1
2. Where do I get the detailed procedure to find GCD of 462, 897, 41, 591?
You can find a detailed procedure to find GCD of 462, 897, 41, 591 on our page.
3. How to find GCD of 462, 897, 41, 591 on a calculator?
You can find the GCD of 462, 897, 41, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.