GCD of 964, 990, 22, 657 Calculator

Given Input numbers are 964, 990, 22, 657

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

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 964, 990, 22, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 990, 22, 657 is 1.

Therefore, GCD of numbers 964, 990, 22, 657 is 1

Given Input Data is 964, 990, 22, 657

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 22 is 2 x 11

Prime Factorization of 657 is 3 x 3 x 73

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(964, 990) = 477180

GCD(964, 990) = ( 964 x 990 ) / 477180

GCD(964, 990) = 954360 / 477180

GCD(964, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 657

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

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

GCD(2, 657) = 1314 / 1314

GCD(2, 657) = 1

GCD of 964, 990, 22, 657 is 1

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1. What is the GCD of 964, 990, 22, 657?

GCD of 964, 990, 22, 657 is 1

2. Where do I get the detailed procedure to find GCD of 964, 990, 22, 657?

You can find a detailed procedure to find GCD of 964, 990, 22, 657 on our page.

3. How to find GCD of 964, 990, 22, 657 on a calculator?

You can find the GCD of 964, 990, 22, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.