GCD of 285, 532, 29, 224 Calculator

Given Input numbers are 285, 532, 29, 224

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 29

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

1, 29

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 285, 532, 29, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 532, 29, 224 is 1.

Therefore, GCD of numbers 285, 532, 29, 224 is 1

Given Input Data is 285, 532, 29, 224

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 29 is 29

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(285, 532) = 7980

GCD(285, 532) = ( 285 x 532 ) / 7980

GCD(285, 532) = 151620 / 7980

GCD(285, 532) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 29

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

LCM(19, 29) = 551

GCD(19, 29) = ( 19 x 29 ) / 551

GCD(19, 29) = 551 / 551

GCD(19, 29) = 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 285, 532, 29, 224 is 1

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1. What is the GCD of 285, 532, 29, 224?

GCD of 285, 532, 29, 224 is 1

2. Where do I get the detailed procedure to find GCD of 285, 532, 29, 224?

You can find a detailed procedure to find GCD of 285, 532, 29, 224 on our page.

3. How to find GCD of 285, 532, 29, 224 on a calculator?

You can find the GCD of 285, 532, 29, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.