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 458, 452, 61, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 458, 452, 61, 324 is 1
GCD(458, 452, 61, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 458, 452, 61, 324 is 1
GCD(458, 452, 61, 324) = 1
Given Input numbers are 458, 452, 61, 324
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Greatest Common Divisior
We found the divisors of 458, 452, 61, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 452, 61, 324 is 1.
Therefore, GCD of numbers 458, 452, 61, 324 is 1
Given Input Data is 458, 452, 61, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 458 is 2 x 229
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 61 is 61
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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(458, 452) = 103508
GCD(458, 452) = ( 458 x 452 ) / 103508
GCD(458, 452) = 207016 / 103508
GCD(458, 452) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 458, 452, 61, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 458, 452, 61, 324?
GCD of 458, 452, 61, 324 is 1
2. Where do I get the detailed procedure to find GCD of 458, 452, 61, 324?
You can find a detailed procedure to find GCD of 458, 452, 61, 324 on our page.
3. How to find GCD of 458, 452, 61, 324 on a calculator?
You can find the GCD of 458, 452, 61, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.