GCD of 584, 474, 23, 647 Calculator

Given Input numbers are 584, 474, 23, 647

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 584, 474, 23, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 474, 23, 647 is 1.

Therefore, GCD of numbers 584, 474, 23, 647 is 1

Given Input Data is 584, 474, 23, 647

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 23 is 23

Prime Factorization of 647 is 647

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(584, 474) = 138408

GCD(584, 474) = ( 584 x 474 ) / 138408

GCD(584, 474) = 276816 / 138408

GCD(584, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

GCD of 584, 474, 23, 647 is 1

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1. What is the GCD of 584, 474, 23, 647?

GCD of 584, 474, 23, 647 is 1

2. Where do I get the detailed procedure to find GCD of 584, 474, 23, 647?

You can find a detailed procedure to find GCD of 584, 474, 23, 647 on our page.

3. How to find GCD of 584, 474, 23, 647 on a calculator?

You can find the GCD of 584, 474, 23, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.