GCD of 359, 982, 73, 300 Calculator

Given Input numbers are 359, 982, 73, 300

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

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 359, 982, 73, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 982, 73, 300 is 1.

Therefore, GCD of numbers 359, 982, 73, 300 is 1

Given Input Data is 359, 982, 73, 300

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

Prime Factorization of 359 is 359

Prime Factorization of 982 is 2 x 491

Prime Factorization of 73 is 73

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(359, 982) = 352538

GCD(359, 982) = ( 359 x 982 ) / 352538

GCD(359, 982) = 352538 / 352538

GCD(359, 982) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 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 359, 982, 73, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 167, 88, 278
• GCD of 207, 463, 53, 622
• GCD of 357, 652, 71, 200
• GCD of 921, 634, 37, 506
• GCD of 225, 499, 43, 513

1. What is the GCD of 359, 982, 73, 300?

GCD of 359, 982, 73, 300 is 1

2. Where do I get the detailed procedure to find GCD of 359, 982, 73, 300?

You can find a detailed procedure to find GCD of 359, 982, 73, 300 on our page.

3. How to find GCD of 359, 982, 73, 300 on a calculator?

You can find the GCD of 359, 982, 73, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.