GCD of 400, 814, 571, 612 Calculator

Given Input numbers are 400, 814, 571, 612

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 400, 814, 571, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 814, 571, 612 is 1.

Therefore, GCD of numbers 400, 814, 571, 612 is 1

Given Input Data is 400, 814, 571, 612

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 814 is 2 x 11 x 37

Prime Factorization of 571 is 571

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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, 814) = 162800

GCD(400, 814) = ( 400 x 814 ) / 162800

GCD(400, 814) = 325600 / 162800

GCD(400, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 571

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

LCM(2, 571) = 1142

GCD(2, 571) = ( 2 x 571 ) / 1142

GCD(2, 571) = 1142 / 1142

GCD(2, 571) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 400, 814, 571, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 149, 210, 804
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• GCD of 455, 458, 221, 916

1. What is the GCD of 400, 814, 571, 612?

GCD of 400, 814, 571, 612 is 1

2. Where do I get the detailed procedure to find GCD of 400, 814, 571, 612?

You can find a detailed procedure to find GCD of 400, 814, 571, 612 on our page.

3. How to find GCD of 400, 814, 571, 612 on a calculator?

You can find the GCD of 400, 814, 571, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.