GCD of 400, 367, 34, 846 Calculator

Given Input numbers are 400, 367, 34, 846

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 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 400, 367, 34, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 367, 34, 846 is 1.

Therefore, GCD of numbers 400, 367, 34, 846 is 1

Given Input Data is 400, 367, 34, 846

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 367 is 367

Prime Factorization of 34 is 2 x 17

Prime Factorization of 846 is 2 x 3 x 3 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, 367) = 146800

GCD(400, 367) = ( 400 x 367 ) / 146800

GCD(400, 367) = 146800 / 146800

GCD(400, 367) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 400, 367, 34, 846 is 1

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1. What is the GCD of 400, 367, 34, 846?

GCD of 400, 367, 34, 846 is 1

2. Where do I get the detailed procedure to find GCD of 400, 367, 34, 846?

You can find a detailed procedure to find GCD of 400, 367, 34, 846 on our page.

3. How to find GCD of 400, 367, 34, 846 on a calculator?

You can find the GCD of 400, 367, 34, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.