GCD of 392, 564, 58, 397 Calculator

Given Input numbers are 392, 564, 58, 397

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

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

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 392, 564, 58, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 564, 58, 397 is 1.

Therefore, GCD of numbers 392, 564, 58, 397 is 1

Given Input Data is 392, 564, 58, 397

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 397 is 397

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(392, 564) = 55272

GCD(392, 564) = ( 392 x 564 ) / 55272

GCD(392, 564) = 221088 / 55272

GCD(392, 564) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 397

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

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

GCD(2, 397) = 794 / 794

GCD(2, 397) = 1

GCD of 392, 564, 58, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 885, 58, 531
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• GCD of 453, 343, 42, 878
• GCD of 814, 257, 56, 813

1. What is the GCD of 392, 564, 58, 397?

GCD of 392, 564, 58, 397 is 1

2. Where do I get the detailed procedure to find GCD of 392, 564, 58, 397?

You can find a detailed procedure to find GCD of 392, 564, 58, 397 on our page.

3. How to find GCD of 392, 564, 58, 397 on a calculator?

You can find the GCD of 392, 564, 58, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.