GCD of 500, 745, 561, 227 Calculator

Given Input numbers are 500, 745, 561, 227

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 561

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

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

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 500, 745, 561, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 745, 561, 227 is 1.

Therefore, GCD of numbers 500, 745, 561, 227 is 1

Given Input Data is 500, 745, 561, 227

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 745 is 5 x 149

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 227 is 227

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(500, 745) = 74500

GCD(500, 745) = ( 500 x 745 ) / 74500

GCD(500, 745) = 372500 / 74500

GCD(500, 745) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 561

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

LCM(5, 561) = 2805

GCD(5, 561) = ( 5 x 561 ) / 2805

GCD(5, 561) = 2805 / 2805

GCD(5, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 500, 745, 561, 227 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 256, 528, 116
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• GCD of 834, 856, 606, 392
• GCD of 645, 831, 368, 592
• GCD of 693, 246, 460, 662

1. What is the GCD of 500, 745, 561, 227?

GCD of 500, 745, 561, 227 is 1

2. Where do I get the detailed procedure to find GCD of 500, 745, 561, 227?

You can find a detailed procedure to find GCD of 500, 745, 561, 227 on our page.

3. How to find GCD of 500, 745, 561, 227 on a calculator?

You can find the GCD of 500, 745, 561, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.