GCD of 237, 204, 431, 480 Calculator

Given Input numbers are 237, 204, 431, 480

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

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 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 237, 204, 431, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 204, 431, 480 is 1.

Therefore, GCD of numbers 237, 204, 431, 480 is 1

Given Input Data is 237, 204, 431, 480

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

Prime Factorization of 237 is 3 x 79

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

Prime Factorization of 431 is 431

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 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(237, 204) = 16116

GCD(237, 204) = ( 237 x 204 ) / 16116

GCD(237, 204) = 48348 / 16116

GCD(237, 204) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 431

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

LCM(3, 431) = 1293

GCD(3, 431) = ( 3 x 431 ) / 1293

GCD(3, 431) = 1293 / 1293

GCD(3, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 237, 204, 431, 480 is 1

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1. What is the GCD of 237, 204, 431, 480?

GCD of 237, 204, 431, 480 is 1

2. Where do I get the detailed procedure to find GCD of 237, 204, 431, 480?

You can find a detailed procedure to find GCD of 237, 204, 431, 480 on our page.

3. How to find GCD of 237, 204, 431, 480 on a calculator?

You can find the GCD of 237, 204, 431, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.