GCD of 429, 832, 539, 224 Calculator

Given Input numbers are 429, 832, 539, 224

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

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 429, 832, 539, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 832, 539, 224 is 1.

Therefore, GCD of numbers 429, 832, 539, 224 is 1

Given Input Data is 429, 832, 539, 224

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 539 is 7 x 7 x 11

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(429, 832) = 27456

GCD(429, 832) = ( 429 x 832 ) / 27456

GCD(429, 832) = 356928 / 27456

GCD(429, 832) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 539

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

LCM(13, 539) = 7007

GCD(13, 539) = ( 13 x 539 ) / 7007

GCD(13, 539) = 7007 / 7007

GCD(13, 539) = 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 429, 832, 539, 224 is 1

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1. What is the GCD of 429, 832, 539, 224?

GCD of 429, 832, 539, 224 is 1

2. Where do I get the detailed procedure to find GCD of 429, 832, 539, 224?

You can find a detailed procedure to find GCD of 429, 832, 539, 224 on our page.

3. How to find GCD of 429, 832, 539, 224 on a calculator?

You can find the GCD of 429, 832, 539, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.