GCD of 78, 567, 475, 224 Calculator

Given Input numbers are 78, 567, 475, 224

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 78, 567, 475, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 567, 475, 224 is 1.

Therefore, GCD of numbers 78, 567, 475, 224 is 1

Given Input Data is 78, 567, 475, 224

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(78, 567) = 14742

GCD(78, 567) = ( 78 x 567 ) / 14742

GCD(78, 567) = 44226 / 14742

GCD(78, 567) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 475

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

LCM(3, 475) = 1425

GCD(3, 475) = ( 3 x 475 ) / 1425

GCD(3, 475) = 1425 / 1425

GCD(3, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 78, 567, 475, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 997, 598, 560
• GCD of 19, 881, 607, 188
• GCD of 26, 448, 582, 831
• GCD of 36, 797, 498, 500
• GCD of 39, 580, 986, 553

1. What is the GCD of 78, 567, 475, 224?

GCD of 78, 567, 475, 224 is 1

2. Where do I get the detailed procedure to find GCD of 78, 567, 475, 224?

You can find a detailed procedure to find GCD of 78, 567, 475, 224 on our page.

3. How to find GCD of 78, 567, 475, 224 on a calculator?

You can find the GCD of 78, 567, 475, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.