GCD of 400, 221, 924, 339 Calculator

Given Input numbers are 400, 221, 924, 339

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 400, 221, 924, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 221, 924, 339 is 1.

Therefore, GCD of numbers 400, 221, 924, 339 is 1

Given Input Data is 400, 221, 924, 339

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 221 is 13 x 17

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 339 is 3 x 113

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, 221) = 88400

GCD(400, 221) = ( 400 x 221 ) / 88400

GCD(400, 221) = 88400 / 88400

GCD(400, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 400, 221, 924, 339 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 758, 120, 535
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• GCD of 812, 820, 134, 399

1. What is the GCD of 400, 221, 924, 339?

GCD of 400, 221, 924, 339 is 1

2. Where do I get the detailed procedure to find GCD of 400, 221, 924, 339?

You can find a detailed procedure to find GCD of 400, 221, 924, 339 on our page.

3. How to find GCD of 400, 221, 924, 339 on a calculator?

You can find the GCD of 400, 221, 924, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.