GCD of 186, 300, 303, 420 Calculator

Given Input numbers are 186, 300, 303, 420

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 303

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

1, 3, 101, 303

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 186, 300, 303, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 300, 303, 420 is 3.

Therefore, GCD of numbers 186, 300, 303, 420 is 3

Given Input Data is 186, 300, 303, 420

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 303 is 3 x 101

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(186, 300) = 9300

GCD(186, 300) = ( 186 x 300 ) / 9300

GCD(186, 300) = 55800 / 9300

GCD(186, 300) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 303

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

LCM(6, 303) = 606

GCD(6, 303) = ( 6 x 303 ) / 606

GCD(6, 303) = 1818 / 606

GCD(6, 303) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 420

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

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

GCD(3, 420) = 1260 / 420

GCD(3, 420) = 3

GCD of 186, 300, 303, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 920, 827, 913
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1. What is the GCD of 186, 300, 303, 420?

GCD of 186, 300, 303, 420 is 3

2. Where do I get the detailed procedure to find GCD of 186, 300, 303, 420?

You can find a detailed procedure to find GCD of 186, 300, 303, 420 on our page.

3. How to find GCD of 186, 300, 303, 420 on a calculator?

You can find the GCD of 186, 300, 303, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.