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 332, 365, 73, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 332, 365, 73, 540 is 1
GCD(332, 365, 73, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 365, 73, 540 is 1
GCD(332, 365, 73, 540) = 1
Given Input numbers are 332, 365, 73, 540
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Greatest Common Divisior
We found the divisors of 332, 365, 73, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 365, 73, 540 is 1.
Therefore, GCD of numbers 332, 365, 73, 540 is 1
Given Input Data is 332, 365, 73, 540
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 365 is 5 x 73
Prime Factorization of 73 is 73
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
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(332, 365) = 121180
GCD(332, 365) = ( 332 x 365 ) / 121180
GCD(332, 365) = 121180 / 121180
GCD(332, 365) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
GCD of 332, 365, 73, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 365, 73, 540?
GCD of 332, 365, 73, 540 is 1
2. Where do I get the detailed procedure to find GCD of 332, 365, 73, 540?
You can find a detailed procedure to find GCD of 332, 365, 73, 540 on our page.
3. How to find GCD of 332, 365, 73, 540 on a calculator?
You can find the GCD of 332, 365, 73, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.