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 787, 229, 449, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 229, 449, 462 is 1
GCD(787, 229, 449, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 229, 449, 462 is 1
GCD(787, 229, 449, 462) = 1
Given Input numbers are 787, 229, 449, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
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
Greatest Common Divisior
We found the divisors of 787, 229, 449, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 229, 449, 462 is 1.
Therefore, GCD of numbers 787, 229, 449, 462 is 1
Given Input Data is 787, 229, 449, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 229 is 229
Prime Factorization of 449 is 449
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(787, 229) = 180223
GCD(787, 229) = ( 787 x 229 ) / 180223
GCD(787, 229) = 180223 / 180223
GCD(787, 229) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 449
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
GCD(1, 449) = 449 / 449
GCD(1, 449) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 787, 229, 449, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 229, 449, 462?
GCD of 787, 229, 449, 462 is 1
2. Where do I get the detailed procedure to find GCD of 787, 229, 449, 462?
You can find a detailed procedure to find GCD of 787, 229, 449, 462 on our page.
3. How to find GCD of 787, 229, 449, 462 on a calculator?
You can find the GCD of 787, 229, 449, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.