GCD of 218, 399, 408, 400 Calculator

Given Input numbers are 218, 399, 408, 400

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

Greatest Common Divisior

We found the divisors of 218, 399, 408, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 399, 408, 400 is 1.

Therefore, GCD of numbers 218, 399, 408, 400 is 1

Given Input Data is 218, 399, 408, 400

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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

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(218, 399) = 86982

GCD(218, 399) = ( 218 x 399 ) / 86982

GCD(218, 399) = 86982 / 86982

GCD(218, 399) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 218, 399, 408, 400 is 1

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• GCD of 225, 557, 933, 657
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• GCD of 139, 503, 377, 834

1. What is the GCD of 218, 399, 408, 400?

GCD of 218, 399, 408, 400 is 1

2. Where do I get the detailed procedure to find GCD of 218, 399, 408, 400?

You can find a detailed procedure to find GCD of 218, 399, 408, 400 on our page.

3. How to find GCD of 218, 399, 408, 400 on a calculator?

You can find the GCD of 218, 399, 408, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.