GCD of 266, 916, 825, 327 Calculator

Given Input numbers are 266, 916, 825, 327

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

Divisors of 266

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

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 266, 916, 825, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 916, 825, 327 is 1.

Therefore, GCD of numbers 266, 916, 825, 327 is 1

Given Input Data is 266, 916, 825, 327

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(266, 916) = 121828

GCD(266, 916) = ( 266 x 916 ) / 121828

GCD(266, 916) = 243656 / 121828

GCD(266, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 327

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

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

GCD(1, 327) = 327 / 327

GCD(1, 327) = 1

GCD of 266, 916, 825, 327 is 1

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1. What is the GCD of 266, 916, 825, 327?

GCD of 266, 916, 825, 327 is 1

2. Where do I get the detailed procedure to find GCD of 266, 916, 825, 327?

You can find a detailed procedure to find GCD of 266, 916, 825, 327 on our page.

3. How to find GCD of 266, 916, 825, 327 on a calculator?

You can find the GCD of 266, 916, 825, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.