GCD of 584, 339, 437, 352 Calculator

Given Input numbers are 584, 339, 437, 352

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 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 584, 339, 437, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 339, 437, 352 is 1.

Therefore, GCD of numbers 584, 339, 437, 352 is 1

Given Input Data is 584, 339, 437, 352

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 339 is 3 x 113

Prime Factorization of 437 is 19 x 23

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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, 339) = 197976

GCD(584, 339) = ( 584 x 339 ) / 197976

GCD(584, 339) = 197976 / 197976

GCD(584, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 437

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

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

GCD(1, 437) = 437 / 437

GCD(1, 437) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 584, 339, 437, 352 is 1

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1. What is the GCD of 584, 339, 437, 352?

GCD of 584, 339, 437, 352 is 1

2. Where do I get the detailed procedure to find GCD of 584, 339, 437, 352?

You can find a detailed procedure to find GCD of 584, 339, 437, 352 on our page.

3. How to find GCD of 584, 339, 437, 352 on a calculator?

You can find the GCD of 584, 339, 437, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.