GCD of 936, 200, 71, 256 Calculator

Given Input numbers are 936, 200, 71, 256

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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

Greatest Common Divisior

We found the divisors of 936, 200, 71, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 200, 71, 256 is 1.

Therefore, GCD of numbers 936, 200, 71, 256 is 1

Given Input Data is 936, 200, 71, 256

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 71 is 71

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

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(936, 200) = 23400

GCD(936, 200) = ( 936 x 200 ) / 23400

GCD(936, 200) = 187200 / 23400

GCD(936, 200) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 71

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

LCM(8, 71) = 568

GCD(8, 71) = ( 8 x 71 ) / 568

GCD(8, 71) = 568 / 568

GCD(8, 71) = 1

Step3:

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

GCD of 936, 200, 71, 256 is 1

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• GCD of 860, 746, 69, 606
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1. What is the GCD of 936, 200, 71, 256?

GCD of 936, 200, 71, 256 is 1

2. Where do I get the detailed procedure to find GCD of 936, 200, 71, 256?

You can find a detailed procedure to find GCD of 936, 200, 71, 256 on our page.

3. How to find GCD of 936, 200, 71, 256 on a calculator?

You can find the GCD of 936, 200, 71, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.