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 45, 536, 453, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 536, 453, 231 is 1
GCD(45, 536, 453, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 536, 453, 231 is 1
GCD(45, 536, 453, 231) = 1
Given Input numbers are 45, 536, 453, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 45, 536, 453, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 536, 453, 231 is 1.
Therefore, GCD of numbers 45, 536, 453, 231 is 1
Given Input Data is 45, 536, 453, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 453 is 3 x 151
Prime Factorization of 231 is 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(45, 536) = 24120
GCD(45, 536) = ( 45 x 536 ) / 24120
GCD(45, 536) = 24120 / 24120
GCD(45, 536) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 453) = 453
GCD(1, 453) = ( 1 x 453 ) / 453
GCD(1, 453) = 453 / 453
GCD(1, 453) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 45, 536, 453, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 536, 453, 231?
GCD of 45, 536, 453, 231 is 1
2. Where do I get the detailed procedure to find GCD of 45, 536, 453, 231?
You can find a detailed procedure to find GCD of 45, 536, 453, 231 on our page.
3. How to find GCD of 45, 536, 453, 231 on a calculator?
You can find the GCD of 45, 536, 453, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.