GCD of 128, 916, 31, 400 Calculator

Given Input numbers are 128, 916, 31, 400

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

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

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 128, 916, 31, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 916, 31, 400 is 1.

Therefore, GCD of numbers 128, 916, 31, 400 is 1

Given Input Data is 128, 916, 31, 400

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 31 is 31

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(128, 916) = 29312

GCD(128, 916) = ( 128 x 916 ) / 29312

GCD(128, 916) = 117248 / 29312

GCD(128, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 128, 916, 31, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 822, 10, 159
• GCD of 725, 945, 83, 479
• GCD of 376, 496, 40, 650
• GCD of 178, 663, 42, 407
• GCD of 760, 318, 51, 872

1. What is the GCD of 128, 916, 31, 400?

GCD of 128, 916, 31, 400 is 1

2. Where do I get the detailed procedure to find GCD of 128, 916, 31, 400?

You can find a detailed procedure to find GCD of 128, 916, 31, 400 on our page.

3. How to find GCD of 128, 916, 31, 400 on a calculator?

You can find the GCD of 128, 916, 31, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.