GCD of 357, 361, 20, 306 Calculator

Given Input numbers are 357, 361, 20, 306

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

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 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 357, 361, 20, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 361, 20, 306 is 1.

Therefore, GCD of numbers 357, 361, 20, 306 is 1

Given Input Data is 357, 361, 20, 306

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 361 is 19 x 19

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(357, 361) = 128877

GCD(357, 361) = ( 357 x 361 ) / 128877

GCD(357, 361) = 128877 / 128877

GCD(357, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 357, 361, 20, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 918, 10, 178
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• GCD of 214, 327, 36, 259
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• GCD of 362, 471, 30, 959

1. What is the GCD of 357, 361, 20, 306?

GCD of 357, 361, 20, 306 is 1

2. Where do I get the detailed procedure to find GCD of 357, 361, 20, 306?

You can find a detailed procedure to find GCD of 357, 361, 20, 306 on our page.

3. How to find GCD of 357, 361, 20, 306 on a calculator?

You can find the GCD of 357, 361, 20, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.