GCD of 620, 663, 588, 300 Calculator

Given Input numbers are 620, 663, 588, 300

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

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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

Greatest Common Divisior

We found the divisors of 620, 663, 588, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 663, 588, 300 is 1.

Therefore, GCD of numbers 620, 663, 588, 300 is 1

Given Input Data is 620, 663, 588, 300

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

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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

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(620, 663) = 411060

GCD(620, 663) = ( 620 x 663 ) / 411060

GCD(620, 663) = 411060 / 411060

GCD(620, 663) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 620, 663, 588, 300 is 1

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1. What is the GCD of 620, 663, 588, 300?

GCD of 620, 663, 588, 300 is 1

2. Where do I get the detailed procedure to find GCD of 620, 663, 588, 300?

You can find a detailed procedure to find GCD of 620, 663, 588, 300 on our page.

3. How to find GCD of 620, 663, 588, 300 on a calculator?

You can find the GCD of 620, 663, 588, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.