GCD of 400, 372, 82, 559 Calculator

Given Input numbers are 400, 372, 82, 559

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 400, 372, 82, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 372, 82, 559 is 1.

Therefore, GCD of numbers 400, 372, 82, 559 is 1

Given Input Data is 400, 372, 82, 559

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 372 is 2 x 2 x 3 x 31

Prime Factorization of 82 is 2 x 41

Prime Factorization of 559 is 13 x 43

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, 372) = 37200

GCD(400, 372) = ( 400 x 372 ) / 37200

GCD(400, 372) = 148800 / 37200

GCD(400, 372) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 82

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

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

GCD(4, 82) = 328 / 164

GCD(4, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

GCD of 400, 372, 82, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 502, 89, 826
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• GCD of 672, 909, 42, 430
• GCD of 211, 186, 88, 411
• GCD of 587, 822, 10, 807

1. What is the GCD of 400, 372, 82, 559?

GCD of 400, 372, 82, 559 is 1

2. Where do I get the detailed procedure to find GCD of 400, 372, 82, 559?

You can find a detailed procedure to find GCD of 400, 372, 82, 559 on our page.

3. How to find GCD of 400, 372, 82, 559 on a calculator?

You can find the GCD of 400, 372, 82, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.