GCD of 506, 312, 963, 266 Calculator

Given Input numbers are 506, 312, 963, 266

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 506, 312, 963, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 312, 963, 266 is 1.

Therefore, GCD of numbers 506, 312, 963, 266 is 1

Given Input Data is 506, 312, 963, 266

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 266 is 2 x 7 x 19

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(506, 312) = 78936

GCD(506, 312) = ( 506 x 312 ) / 78936

GCD(506, 312) = 157872 / 78936

GCD(506, 312) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 963

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

LCM(2, 963) = 1926

GCD(2, 963) = ( 2 x 963 ) / 1926

GCD(2, 963) = 1926 / 1926

GCD(2, 963) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 506, 312, 963, 266 is 1

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1. What is the GCD of 506, 312, 963, 266?

GCD of 506, 312, 963, 266 is 1

2. Where do I get the detailed procedure to find GCD of 506, 312, 963, 266?

You can find a detailed procedure to find GCD of 506, 312, 963, 266 on our page.

3. How to find GCD of 506, 312, 963, 266 on a calculator?

You can find the GCD of 506, 312, 963, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.