GCD of 470, 590, 123, 824 Calculator

Given Input numbers are 470, 590, 123, 824

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 824

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

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

Greatest Common Divisior

We found the divisors of 470, 590, 123, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 590, 123, 824 is 1.

Therefore, GCD of numbers 470, 590, 123, 824 is 1

Given Input Data is 470, 590, 123, 824

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 123 is 3 x 41

Prime Factorization of 824 is 2 x 2 x 2 x 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(470, 590) = 27730

GCD(470, 590) = ( 470 x 590 ) / 27730

GCD(470, 590) = 277300 / 27730

GCD(470, 590) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 123

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

LCM(10, 123) = 1230

GCD(10, 123) = ( 10 x 123 ) / 1230

GCD(10, 123) = 1230 / 1230

GCD(10, 123) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 470, 590, 123, 824 is 1

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1. What is the GCD of 470, 590, 123, 824?

GCD of 470, 590, 123, 824 is 1

2. Where do I get the detailed procedure to find GCD of 470, 590, 123, 824?

You can find a detailed procedure to find GCD of 470, 590, 123, 824 on our page.

3. How to find GCD of 470, 590, 123, 824 on a calculator?

You can find the GCD of 470, 590, 123, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.