GCD of 300, 312, 684, 659 Calculator

Given Input numbers are 300, 312, 684, 659

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 300, 312, 684, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 312, 684, 659 is 1.

Therefore, GCD of numbers 300, 312, 684, 659 is 1

Given Input Data is 300, 312, 684, 659

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 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 659 is 659

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, 312) = 7800

GCD(300, 312) = ( 300 x 312 ) / 7800

GCD(300, 312) = 93600 / 7800

GCD(300, 312) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 684

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

LCM(12, 684) = 684

GCD(12, 684) = ( 12 x 684 ) / 684

GCD(12, 684) = 8208 / 684

GCD(12, 684) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 659

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

LCM(12, 659) = 7908

GCD(12, 659) = ( 12 x 659 ) / 7908

GCD(12, 659) = 7908 / 7908

GCD(12, 659) = 1

GCD of 300, 312, 684, 659 is 1

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1. What is the GCD of 300, 312, 684, 659?

GCD of 300, 312, 684, 659 is 1

2. Where do I get the detailed procedure to find GCD of 300, 312, 684, 659?

You can find a detailed procedure to find GCD of 300, 312, 684, 659 on our page.

3. How to find GCD of 300, 312, 684, 659 on a calculator?

You can find the GCD of 300, 312, 684, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.