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 452, 368, 495, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 452, 368, 495, 561 is 1
GCD(452, 368, 495, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 452, 368, 495, 561 is 1
GCD(452, 368, 495, 561) = 1
Given Input numbers are 452, 368, 495, 561
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
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 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 452, 368, 495, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 368, 495, 561 is 1.
Therefore, GCD of numbers 452, 368, 495, 561 is 1
Given Input Data is 452, 368, 495, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 561 is 3 x 11 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(452, 368) = 41584
GCD(452, 368) = ( 452 x 368 ) / 41584
GCD(452, 368) = 166336 / 41584
GCD(452, 368) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 495) = 1980
GCD(4, 495) = ( 4 x 495 ) / 1980
GCD(4, 495) = 1980 / 1980
GCD(4, 495) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
GCD of 452, 368, 495, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 452, 368, 495, 561?
GCD of 452, 368, 495, 561 is 1
2. Where do I get the detailed procedure to find GCD of 452, 368, 495, 561?
You can find a detailed procedure to find GCD of 452, 368, 495, 561 on our page.
3. How to find GCD of 452, 368, 495, 561 on a calculator?
You can find the GCD of 452, 368, 495, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.