GCD of 527, 392, 393, 966 Calculator

Given Input numbers are 527, 392, 393, 966

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

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 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 527, 392, 393, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 392, 393, 966 is 1.

Therefore, GCD of numbers 527, 392, 393, 966 is 1

Given Input Data is 527, 392, 393, 966

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

Prime Factorization of 527 is 17 x 31

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(527, 392) = 206584

GCD(527, 392) = ( 527 x 392 ) / 206584

GCD(527, 392) = 206584 / 206584

GCD(527, 392) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 527, 392, 393, 966 is 1

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1. What is the GCD of 527, 392, 393, 966?

GCD of 527, 392, 393, 966 is 1

2. Where do I get the detailed procedure to find GCD of 527, 392, 393, 966?

You can find a detailed procedure to find GCD of 527, 392, 393, 966 on our page.

3. How to find GCD of 527, 392, 393, 966 on a calculator?

You can find the GCD of 527, 392, 393, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.