GCD of 204, 898, 601, 360 Calculator

Given Input numbers are 204, 898, 601, 360

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 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 204, 898, 601, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 898, 601, 360 is 1.

Therefore, GCD of numbers 204, 898, 601, 360 is 1

Given Input Data is 204, 898, 601, 360

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 898 is 2 x 449

Prime Factorization of 601 is 601

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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, 898) = 91596

GCD(204, 898) = ( 204 x 898 ) / 91596

GCD(204, 898) = 183192 / 91596

GCD(204, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 601

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

LCM(2, 601) = 1202

GCD(2, 601) = ( 2 x 601 ) / 1202

GCD(2, 601) = 1202 / 1202

GCD(2, 601) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 204, 898, 601, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 447, 823, 534
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• GCD of 393, 780, 136, 769

1. What is the GCD of 204, 898, 601, 360?

GCD of 204, 898, 601, 360 is 1

2. Where do I get the detailed procedure to find GCD of 204, 898, 601, 360?

You can find a detailed procedure to find GCD of 204, 898, 601, 360 on our page.

3. How to find GCD of 204, 898, 601, 360 on a calculator?

You can find the GCD of 204, 898, 601, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.