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 436, 204, 732, 489 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 204, 732, 489 is 1
GCD(436, 204, 732, 489) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 204, 732, 489 is 1
GCD(436, 204, 732, 489) = 1
Given Input numbers are 436, 204, 732, 489
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Greatest Common Divisior
We found the divisors of 436, 204, 732, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 204, 732, 489 is 1.
Therefore, GCD of numbers 436, 204, 732, 489 is 1
Given Input Data is 436, 204, 732, 489
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 489 is 3 x 163
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(436, 204) = 22236
GCD(436, 204) = ( 436 x 204 ) / 22236
GCD(436, 204) = 88944 / 22236
GCD(436, 204) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 732) = 732
GCD(4, 732) = ( 4 x 732 ) / 732
GCD(4, 732) = 2928 / 732
GCD(4, 732) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 489) = 1956
GCD(4, 489) = ( 4 x 489 ) / 1956
GCD(4, 489) = 1956 / 1956
GCD(4, 489) = 1
GCD of 436, 204, 732, 489 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 204, 732, 489?
GCD of 436, 204, 732, 489 is 1
2. Where do I get the detailed procedure to find GCD of 436, 204, 732, 489?
You can find a detailed procedure to find GCD of 436, 204, 732, 489 on our page.
3. How to find GCD of 436, 204, 732, 489 on a calculator?
You can find the GCD of 436, 204, 732, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.