GCD of 824, 532, 57, 623 Calculator

Given Input numbers are 824, 532, 57, 623

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 824, 532, 57, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 532, 57, 623 is 1.

Therefore, GCD of numbers 824, 532, 57, 623 is 1

Given Input Data is 824, 532, 57, 623

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 623 is 7 x 89

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(824, 532) = 109592

GCD(824, 532) = ( 824 x 532 ) / 109592

GCD(824, 532) = 438368 / 109592

GCD(824, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 57

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

LCM(4, 57) = 228

GCD(4, 57) = ( 4 x 57 ) / 228

GCD(4, 57) = 228 / 228

GCD(4, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

GCD of 824, 532, 57, 623 is 1

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1. What is the GCD of 824, 532, 57, 623?

GCD of 824, 532, 57, 623 is 1

2. Where do I get the detailed procedure to find GCD of 824, 532, 57, 623?

You can find a detailed procedure to find GCD of 824, 532, 57, 623 on our page.

3. How to find GCD of 824, 532, 57, 623 on a calculator?

You can find the GCD of 824, 532, 57, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.