GCD of 300, 972, 561 Calculator

Given Input numbers are 300, 972, 561

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 300, 972, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 972, 561 is 3.

Therefore, GCD of numbers 300, 972, 561 is 3

Given Input Data is 300, 972, 561

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 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 561 is 3 x 11 x 17

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(300, 972) = 24300

GCD(300, 972) = ( 300 x 972 ) / 24300

GCD(300, 972) = 291600 / 24300

GCD(300, 972) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 561

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

LCM(12, 561) = 2244

GCD(12, 561) = ( 12 x 561 ) / 2244

GCD(12, 561) = 6732 / 2244

GCD(12, 561) = 3

GCD of 300, 972, 561 is 3

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1. What is the GCD of 300, 972, 561?

GCD of 300, 972, 561 is 3

2. Where do I get the detailed procedure to find GCD of 300, 972, 561?

You can find a detailed procedure to find GCD of 300, 972, 561 on our page.

3. How to find GCD of 300, 972, 561 on a calculator?

You can find the GCD of 300, 972, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.