GCD of 400, 814, 671, 466 Calculator

Given Input numbers are 400, 814, 671, 466

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 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 400, 814, 671, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 814, 671, 466 is 1.

Therefore, GCD of numbers 400, 814, 671, 466 is 1

Given Input Data is 400, 814, 671, 466

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 671 is 11 x 61

Prime Factorization of 466 is 2 x 233

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 671

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

LCM(2, 671) = 1342

GCD(2, 671) = ( 2 x 671 ) / 1342

GCD(2, 671) = 1342 / 1342

GCD(2, 671) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 400, 814, 671, 466 is 1

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• GCD of 677, 422, 330, 510
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1. What is the GCD of 400, 814, 671, 466?

GCD of 400, 814, 671, 466 is 1

2. Where do I get the detailed procedure to find GCD of 400, 814, 671, 466?

You can find a detailed procedure to find GCD of 400, 814, 671, 466 on our page.

3. How to find GCD of 400, 814, 671, 466 on a calculator?

You can find the GCD of 400, 814, 671, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.