GCD of 204, 462, 53, 126 Calculator

Given Input numbers are 204, 462, 53, 126

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 204, 462, 53, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 462, 53, 126 is 1.

Therefore, GCD of numbers 204, 462, 53, 126 is 1

Given Input Data is 204, 462, 53, 126

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 462 is 2 x 3 x 7 x 11

Prime Factorization of 53 is 53

Prime Factorization of 126 is 2 x 3 x 3 x 7

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(204, 462) = 15708

GCD(204, 462) = ( 204 x 462 ) / 15708

GCD(204, 462) = 94248 / 15708

GCD(204, 462) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 53

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

LCM(6, 53) = 318

GCD(6, 53) = ( 6 x 53 ) / 318

GCD(6, 53) = 318 / 318

GCD(6, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 204, 462, 53, 126 is 1

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• GCD of 522, 152, 24, 106
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1. What is the GCD of 204, 462, 53, 126?

GCD of 204, 462, 53, 126 is 1

2. Where do I get the detailed procedure to find GCD of 204, 462, 53, 126?

You can find a detailed procedure to find GCD of 204, 462, 53, 126 on our page.

3. How to find GCD of 204, 462, 53, 126 on a calculator?

You can find the GCD of 204, 462, 53, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.