GCD of 90, 966, 964, 327 Calculator

Given Input numbers are 90, 966, 964, 327

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 90, 966, 964, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 966, 964, 327 is 1.

Therefore, GCD of numbers 90, 966, 964, 327 is 1

Given Input Data is 90, 966, 964, 327

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 327 is 3 x 109

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(90, 966) = 14490

GCD(90, 966) = ( 90 x 966 ) / 14490

GCD(90, 966) = 86940 / 14490

GCD(90, 966) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 964

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

LCM(6, 964) = 2892

GCD(6, 964) = ( 6 x 964 ) / 2892

GCD(6, 964) = 5784 / 2892

GCD(6, 964) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 327

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

LCM(2, 327) = 654

GCD(2, 327) = ( 2 x 327 ) / 654

GCD(2, 327) = 654 / 654

GCD(2, 327) = 1

GCD of 90, 966, 964, 327 is 1

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1. What is the GCD of 90, 966, 964, 327?

GCD of 90, 966, 964, 327 is 1

2. Where do I get the detailed procedure to find GCD of 90, 966, 964, 327?

You can find a detailed procedure to find GCD of 90, 966, 964, 327 on our page.

3. How to find GCD of 90, 966, 964, 327 on a calculator?

You can find the GCD of 90, 966, 964, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.