GCD of 436, 204, 732, 489 Calculator

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

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• GCD of 927, 105, 854, 928
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• GCD of 144, 740, 527, 139

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.