GCD of 592, 464, 824, 103 Calculator

Given Input numbers are 592, 464, 824, 103

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 592, 464, 824, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 464, 824, 103 is 1.

Therefore, GCD of numbers 592, 464, 824, 103 is 1

Given Input Data is 592, 464, 824, 103

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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

Prime Factorization of 103 is 103

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(592, 464) = 17168

GCD(592, 464) = ( 592 x 464 ) / 17168

GCD(592, 464) = 274688 / 17168

GCD(592, 464) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 824

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

LCM(16, 824) = 1648

GCD(16, 824) = ( 16 x 824 ) / 1648

GCD(16, 824) = 13184 / 1648

GCD(16, 824) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 103

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

LCM(8, 103) = 824

GCD(8, 103) = ( 8 x 103 ) / 824

GCD(8, 103) = 824 / 824

GCD(8, 103) = 1

GCD of 592, 464, 824, 103 is 1

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1. What is the GCD of 592, 464, 824, 103?

GCD of 592, 464, 824, 103 is 1

2. Where do I get the detailed procedure to find GCD of 592, 464, 824, 103?

You can find a detailed procedure to find GCD of 592, 464, 824, 103 on our page.

3. How to find GCD of 592, 464, 824, 103 on a calculator?

You can find the GCD of 592, 464, 824, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.