GCD of 268, 286, 864, 257 Calculator

Given Input numbers are 268, 286, 864, 257

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 268, 286, 864, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 286, 864, 257 is 1.

Therefore, GCD of numbers 268, 286, 864, 257 is 1

Given Input Data is 268, 286, 864, 257

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 257 is 257

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(268, 286) = 38324

GCD(268, 286) = ( 268 x 286 ) / 38324

GCD(268, 286) = 76648 / 38324

GCD(268, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 257

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

LCM(2, 257) = 514

GCD(2, 257) = ( 2 x 257 ) / 514

GCD(2, 257) = 514 / 514

GCD(2, 257) = 1

GCD of 268, 286, 864, 257 is 1

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1. What is the GCD of 268, 286, 864, 257?

GCD of 268, 286, 864, 257 is 1

2. Where do I get the detailed procedure to find GCD of 268, 286, 864, 257?

You can find a detailed procedure to find GCD of 268, 286, 864, 257 on our page.

3. How to find GCD of 268, 286, 864, 257 on a calculator?

You can find the GCD of 268, 286, 864, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.