GCD of 12, 357, 587, 303 Calculator

Given Input numbers are 12, 357, 587, 303

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 12, 357, 587, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 357, 587, 303 is 1.

Therefore, GCD of numbers 12, 357, 587, 303 is 1

Given Input Data is 12, 357, 587, 303

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 587 is 587

Prime Factorization of 303 is 3 x 101

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(12, 357) = 1428

GCD(12, 357) = ( 12 x 357 ) / 1428

GCD(12, 357) = 4284 / 1428

GCD(12, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 587

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

LCM(3, 587) = 1761

GCD(3, 587) = ( 3 x 587 ) / 1761

GCD(3, 587) = 1761 / 1761

GCD(3, 587) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 12, 357, 587, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 781, 457, 145
• GCD of 63, 236, 571, 950
• GCD of 14, 669, 533, 848
• GCD of 12, 717, 796, 823
• GCD of 53, 896, 240, 191

1. What is the GCD of 12, 357, 587, 303?

GCD of 12, 357, 587, 303 is 1

2. Where do I get the detailed procedure to find GCD of 12, 357, 587, 303?

You can find a detailed procedure to find GCD of 12, 357, 587, 303 on our page.

3. How to find GCD of 12, 357, 587, 303 on a calculator?

You can find the GCD of 12, 357, 587, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.