GCD of 265, 249, 256, 646 Calculator

Given Input numbers are 265, 249, 256, 646

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

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 265, 249, 256, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 249, 256, 646 is 1.

Therefore, GCD of numbers 265, 249, 256, 646 is 1

Given Input Data is 265, 249, 256, 646

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

Prime Factorization of 265 is 5 x 53

Prime Factorization of 249 is 3 x 83

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 646 is 2 x 17 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(265, 249) = 65985

GCD(265, 249) = ( 265 x 249 ) / 65985

GCD(265, 249) = 65985 / 65985

GCD(265, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

GCD of 265, 249, 256, 646 is 1

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1. What is the GCD of 265, 249, 256, 646?

GCD of 265, 249, 256, 646 is 1

2. Where do I get the detailed procedure to find GCD of 265, 249, 256, 646?

You can find a detailed procedure to find GCD of 265, 249, 256, 646 on our page.

3. How to find GCD of 265, 249, 256, 646 on a calculator?

You can find the GCD of 265, 249, 256, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.