GCD of 584, 412, 29, 392 Calculator

Given Input numbers are 584, 412, 29, 392

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 584, 412, 29, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 412, 29, 392 is 1.

Therefore, GCD of numbers 584, 412, 29, 392 is 1

Given Input Data is 584, 412, 29, 392

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 412 is 2 x 2 x 103

Prime Factorization of 29 is 29

Prime Factorization of 392 is 2 x 2 x 2 x 7 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(584, 412) = 60152

GCD(584, 412) = ( 584 x 412 ) / 60152

GCD(584, 412) = 240608 / 60152

GCD(584, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 29

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

LCM(4, 29) = 116

GCD(4, 29) = ( 4 x 29 ) / 116

GCD(4, 29) = 116 / 116

GCD(4, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 584, 412, 29, 392 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 655, 66, 450
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• GCD of 144, 340, 83, 632
• GCD of 361, 767, 68, 706
• GCD of 808, 370, 64, 979

1. What is the GCD of 584, 412, 29, 392?

GCD of 584, 412, 29, 392 is 1

2. Where do I get the detailed procedure to find GCD of 584, 412, 29, 392?

You can find a detailed procedure to find GCD of 584, 412, 29, 392 on our page.

3. How to find GCD of 584, 412, 29, 392 on a calculator?

You can find the GCD of 584, 412, 29, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.