GCD of 300, 189, 662 Calculator

Given Input numbers are 300, 189, 662

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

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 300, 189, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 189, 662 is 1.

Therefore, GCD of numbers 300, 189, 662 is 1

Given Input Data is 300, 189, 662

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

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 662 is 2 x 331

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(300, 189) = 18900

GCD(300, 189) = ( 300 x 189 ) / 18900

GCD(300, 189) = 56700 / 18900

GCD(300, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 662

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

LCM(3, 662) = 1986

GCD(3, 662) = ( 3 x 662 ) / 1986

GCD(3, 662) = 1986 / 1986

GCD(3, 662) = 1

GCD of 300, 189, 662 is 1

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• GCD of 764, 643, 736
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1. What is the GCD of 300, 189, 662?

GCD of 300, 189, 662 is 1

2. Where do I get the detailed procedure to find GCD of 300, 189, 662?

You can find a detailed procedure to find GCD of 300, 189, 662 on our page.

3. How to find GCD of 300, 189, 662 on a calculator?

You can find the GCD of 300, 189, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.