GCD of 58, 849, 344, 564 Calculator

Given Input numbers are 58, 849, 344, 564

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 58, 849, 344, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 849, 344, 564 is 1.

Therefore, GCD of numbers 58, 849, 344, 564 is 1

Given Input Data is 58, 849, 344, 564

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 849 is 3 x 283

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(58, 849) = 49242

GCD(58, 849) = ( 58 x 849 ) / 49242

GCD(58, 849) = 49242 / 49242

GCD(58, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 58, 849, 344, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 670, 684, 609
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• GCD of 57, 241, 664, 220
• GCD of 60, 311, 348, 651
• GCD of 62, 705, 162, 508

1. What is the GCD of 58, 849, 344, 564?

GCD of 58, 849, 344, 564 is 1

2. Where do I get the detailed procedure to find GCD of 58, 849, 344, 564?

You can find a detailed procedure to find GCD of 58, 849, 344, 564 on our page.

3. How to find GCD of 58, 849, 344, 564 on a calculator?

You can find the GCD of 58, 849, 344, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.