GCD of 400, 846, 13, 716 Calculator

Given Input numbers are 400, 846, 13, 716

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 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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 400, 846, 13, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 846, 13, 716 is 1.

Therefore, GCD of numbers 400, 846, 13, 716 is 1

Given Input Data is 400, 846, 13, 716

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 846 is 2 x 3 x 3 x 47

Prime Factorization of 13 is 13

Prime Factorization of 716 is 2 x 2 x 179

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, 846) = 169200

GCD(400, 846) = ( 400 x 846 ) / 169200

GCD(400, 846) = 338400 / 169200

GCD(400, 846) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 400, 846, 13, 716 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 674, 92, 586
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• GCD of 520, 226, 67, 862

1. What is the GCD of 400, 846, 13, 716?

GCD of 400, 846, 13, 716 is 1

2. Where do I get the detailed procedure to find GCD of 400, 846, 13, 716?

You can find a detailed procedure to find GCD of 400, 846, 13, 716 on our page.

3. How to find GCD of 400, 846, 13, 716 on a calculator?

You can find the GCD of 400, 846, 13, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.