GCD of 303, 387, 27, 357 Calculator

Given Input numbers are 303, 387, 27, 357

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

Divisors of 303

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

1, 3, 101, 303

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 357

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

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

Greatest Common Divisior

We found the divisors of 303, 387, 27, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 387, 27, 357 is 3.

Therefore, GCD of numbers 303, 387, 27, 357 is 3

Given Input Data is 303, 387, 27, 357

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 357 is 3 x 7 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(303, 387) = 39087

GCD(303, 387) = ( 303 x 387 ) / 39087

GCD(303, 387) = 117261 / 39087

GCD(303, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 357

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

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

GCD(3, 357) = 1071 / 357

GCD(3, 357) = 3

GCD of 303, 387, 27, 357 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 715, 31, 355
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• GCD of 365, 965, 49, 680
• GCD of 666, 936, 49, 463

1. What is the GCD of 303, 387, 27, 357?

GCD of 303, 387, 27, 357 is 3

2. Where do I get the detailed procedure to find GCD of 303, 387, 27, 357?

You can find a detailed procedure to find GCD of 303, 387, 27, 357 on our page.

3. How to find GCD of 303, 387, 27, 357 on a calculator?

You can find the GCD of 303, 387, 27, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.