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, 732, 361, 523 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 732, 361, 523 is 1
GCD(45, 732, 361, 523) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 732, 361, 523 is 1
GCD(45, 732, 361, 523) = 1
Given Input numbers are 45, 732, 361, 523
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 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Greatest Common Divisior
We found the divisors of 45, 732, 361, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 732, 361, 523 is 1.
Therefore, GCD of numbers 45, 732, 361, 523 is 1
Given Input Data is 45, 732, 361, 523
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 732 is 2 x 2 x 3 x 61
Prime Factorization of 361 is 19 x 19
Prime Factorization of 523 is 523
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, 732) = 10980
GCD(45, 732) = ( 45 x 732 ) / 10980
GCD(45, 732) = 32940 / 10980
GCD(45, 732) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 361) = 1083
GCD(3, 361) = ( 3 x 361 ) / 1083
GCD(3, 361) = 1083 / 1083
GCD(3, 361) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
GCD of 45, 732, 361, 523 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 732, 361, 523?
GCD of 45, 732, 361, 523 is 1
2. Where do I get the detailed procedure to find GCD of 45, 732, 361, 523?
You can find a detailed procedure to find GCD of 45, 732, 361, 523 on our page.
3. How to find GCD of 45, 732, 361, 523 on a calculator?
You can find the GCD of 45, 732, 361, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.