GCD of 573, 732, 900 Calculator

Given Input numbers are 573, 732, 900

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

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 573, 732, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 732, 900 is 3.

Therefore, GCD of numbers 573, 732, 900 is 3

Given Input Data is 573, 732, 900

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

Prime Factorization of 573 is 3 x 191

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(573, 732) = 139812

GCD(573, 732) = ( 573 x 732 ) / 139812

GCD(573, 732) = 419436 / 139812

GCD(573, 732) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 900

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

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

GCD(3, 900) = 2700 / 900

GCD(3, 900) = 3

GCD of 573, 732, 900 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 136, 712
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• GCD of 415, 507, 418
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1. What is the GCD of 573, 732, 900?

GCD of 573, 732, 900 is 3

2. Where do I get the detailed procedure to find GCD of 573, 732, 900?

You can find a detailed procedure to find GCD of 573, 732, 900 on our page.

3. How to find GCD of 573, 732, 900 on a calculator?

You can find the GCD of 573, 732, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.