GCD of 400, 589, 94 Calculator

Given Input numbers are 400, 589, 94

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

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

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Greatest Common Divisior

We found the divisors of 400, 589, 94 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 589, 94 is 1.

Therefore, GCD of numbers 400, 589, 94 is 1

Given Input Data is 400, 589, 94

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

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 94 is 2 x 47

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(400, 589) = 235600

GCD(400, 589) = ( 400 x 589 ) / 235600

GCD(400, 589) = 235600 / 235600

GCD(400, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 94

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

LCM(1, 94) = 94

GCD(1, 94) = ( 1 x 94 ) / 94

GCD(1, 94) = 94 / 94

GCD(1, 94) = 1

GCD of 400, 589, 94 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 364, 61
• GCD of 363, 366, 45
• GCD of 891, 927, 32
• GCD of 372, 278, 54
• GCD of 848, 513, 10

1. What is the GCD of 400, 589, 94?

GCD of 400, 589, 94 is 1

2. Where do I get the detailed procedure to find GCD of 400, 589, 94?

You can find a detailed procedure to find GCD of 400, 589, 94 on our page.

3. How to find GCD of 400, 589, 94 on a calculator?

You can find the GCD of 400, 589, 94 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.