GCD of 224, 725, 29, 413 Calculator

Given Input numbers are 224, 725, 29, 413

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

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 224, 725, 29, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 725, 29, 413 is 1.

Therefore, GCD of numbers 224, 725, 29, 413 is 1

Given Input Data is 224, 725, 29, 413

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

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 29 is 29

Prime Factorization of 413 is 7 x 59

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(224, 725) = 162400

GCD(224, 725) = ( 224 x 725 ) / 162400

GCD(224, 725) = 162400 / 162400

GCD(224, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 224, 725, 29, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 618, 24, 895
• GCD of 157, 978, 61, 235
• GCD of 598, 765, 73, 187
• GCD of 677, 903, 23, 755
• GCD of 305, 614, 82, 517

1. What is the GCD of 224, 725, 29, 413?

GCD of 224, 725, 29, 413 is 1

2. Where do I get the detailed procedure to find GCD of 224, 725, 29, 413?

You can find a detailed procedure to find GCD of 224, 725, 29, 413 on our page.

3. How to find GCD of 224, 725, 29, 413 on a calculator?

You can find the GCD of 224, 725, 29, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.