GCD of 204, 542, 388, 732 Calculator

Given Input numbers are 204, 542, 388, 732

To find the GCD of numbers using factoring list out all the divisors of each number

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 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

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

Greatest Common Divisior

We found the divisors of 204, 542, 388, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 542, 388, 732 is 2.

Therefore, GCD of numbers 204, 542, 388, 732 is 2

Given Input Data is 204, 542, 388, 732

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 542 is 2 x 271

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 732 is 2 x 2 x 3 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(204, 542) = 55284

GCD(204, 542) = ( 204 x 542 ) / 55284

GCD(204, 542) = 110568 / 55284

GCD(204, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 732

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

GCD(2, 732) = 1464 / 732

GCD(2, 732) = 2

GCD of 204, 542, 388, 732 is 2

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1. What is the GCD of 204, 542, 388, 732?

GCD of 204, 542, 388, 732 is 2

2. Where do I get the detailed procedure to find GCD of 204, 542, 388, 732?

You can find a detailed procedure to find GCD of 204, 542, 388, 732 on our page.

3. How to find GCD of 204, 542, 388, 732 on a calculator?

You can find the GCD of 204, 542, 388, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.