GCD of 659, 400, 37, 394 Calculator

Given Input numbers are 659, 400, 37, 394

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

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 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 659, 400, 37, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 400, 37, 394 is 1.

Therefore, GCD of numbers 659, 400, 37, 394 is 1

Given Input Data is 659, 400, 37, 394

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

Prime Factorization of 659 is 659

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

Prime Factorization of 37 is 37

Prime Factorization of 394 is 2 x 197

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(659, 400) = 263600

GCD(659, 400) = ( 659 x 400 ) / 263600

GCD(659, 400) = 263600 / 263600

GCD(659, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 659, 400, 37, 394 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 476, 85, 848
• GCD of 569, 916, 71, 686
• GCD of 275, 401, 66, 597
• GCD of 154, 826, 61, 724
• GCD of 857, 154, 26, 258

1. What is the GCD of 659, 400, 37, 394?

GCD of 659, 400, 37, 394 is 1

2. Where do I get the detailed procedure to find GCD of 659, 400, 37, 394?

You can find a detailed procedure to find GCD of 659, 400, 37, 394 on our page.

3. How to find GCD of 659, 400, 37, 394 on a calculator?

You can find the GCD of 659, 400, 37, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.