GCD of 592, 867, 314, 352 Calculator

Given Input numbers are 592, 867, 314, 352

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 592, 867, 314, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 867, 314, 352 is 1.

Therefore, GCD of numbers 592, 867, 314, 352 is 1

Given Input Data is 592, 867, 314, 352

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 314 is 2 x 157

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(592, 867) = 513264

GCD(592, 867) = ( 592 x 867 ) / 513264

GCD(592, 867) = 513264 / 513264

GCD(592, 867) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 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 592, 867, 314, 352 is 1

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1. What is the GCD of 592, 867, 314, 352?

GCD of 592, 867, 314, 352 is 1

2. Where do I get the detailed procedure to find GCD of 592, 867, 314, 352?

You can find a detailed procedure to find GCD of 592, 867, 314, 352 on our page.

3. How to find GCD of 592, 867, 314, 352 on a calculator?

You can find the GCD of 592, 867, 314, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.