GCD of 523, 656, 966, 455 Calculator

Given Input numbers are 523, 656, 966, 455

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 523, 656, 966, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 656, 966, 455 is 1.

Therefore, GCD of numbers 523, 656, 966, 455 is 1

Given Input Data is 523, 656, 966, 455

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

Prime Factorization of 523 is 523

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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

Prime Factorization of 455 is 5 x 7 x 13

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(523, 656) = 343088

GCD(523, 656) = ( 523 x 656 ) / 343088

GCD(523, 656) = 343088 / 343088

GCD(523, 656) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

GCD of 523, 656, 966, 455 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 671, 553, 565
• GCD of 148, 551, 987, 748
• GCD of 645, 908, 495, 172
• GCD of 376, 655, 782, 599
• GCD of 656, 137, 886, 947

1. What is the GCD of 523, 656, 966, 455?

GCD of 523, 656, 966, 455 is 1

2. Where do I get the detailed procedure to find GCD of 523, 656, 966, 455?

You can find a detailed procedure to find GCD of 523, 656, 966, 455 on our page.

3. How to find GCD of 523, 656, 966, 455 on a calculator?

You can find the GCD of 523, 656, 966, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.