GCD of 36, 123, 203, 368 Calculator

Given Input numbers are 36, 123, 203, 368

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 36, 123, 203, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 123, 203, 368 is 1.

Therefore, GCD of numbers 36, 123, 203, 368 is 1

Given Input Data is 36, 123, 203, 368

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 123 is 3 x 41

Prime Factorization of 203 is 7 x 29

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(36, 123) = 1476

GCD(36, 123) = ( 36 x 123 ) / 1476

GCD(36, 123) = 4428 / 1476

GCD(36, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 203

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

LCM(3, 203) = 609

GCD(3, 203) = ( 3 x 203 ) / 609

GCD(3, 203) = 609 / 609

GCD(3, 203) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 36, 123, 203, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 508, 332, 113
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• GCD of 23, 229, 694, 939
• GCD of 65, 765, 934, 714
• GCD of 58, 625, 303, 852

1. What is the GCD of 36, 123, 203, 368?

GCD of 36, 123, 203, 368 is 1

2. Where do I get the detailed procedure to find GCD of 36, 123, 203, 368?

You can find a detailed procedure to find GCD of 36, 123, 203, 368 on our page.

3. How to find GCD of 36, 123, 203, 368 on a calculator?

You can find the GCD of 36, 123, 203, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.