GCD of 560, 493, 50, 225 Calculator

Given Input numbers are 560, 493, 50, 225

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 560, 493, 50, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 493, 50, 225 is 1.

Therefore, GCD of numbers 560, 493, 50, 225 is 1

Given Input Data is 560, 493, 50, 225

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 493 is 17 x 29

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 225 is 3 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(560, 493) = 276080

GCD(560, 493) = ( 560 x 493 ) / 276080

GCD(560, 493) = 276080 / 276080

GCD(560, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 560, 493, 50, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 306, 42, 494
• GCD of 398, 368, 22, 924
• GCD of 702, 335, 91, 283
• GCD of 971, 658, 48, 441
• GCD of 683, 430, 22, 777

1. What is the GCD of 560, 493, 50, 225?

GCD of 560, 493, 50, 225 is 1

2. Where do I get the detailed procedure to find GCD of 560, 493, 50, 225?

You can find a detailed procedure to find GCD of 560, 493, 50, 225 on our page.

3. How to find GCD of 560, 493, 50, 225 on a calculator?

You can find the GCD of 560, 493, 50, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.