GCD of 403, 206, 82, 400 Calculator

Given Input numbers are 403, 206, 82, 400

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

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 82

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

1, 2, 41, 82

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 403, 206, 82, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 206, 82, 400 is 1.

Therefore, GCD of numbers 403, 206, 82, 400 is 1

Given Input Data is 403, 206, 82, 400

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

Prime Factorization of 403 is 13 x 31

Prime Factorization of 206 is 2 x 103

Prime Factorization of 82 is 2 x 41

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(403, 206) = 83018

GCD(403, 206) = ( 403 x 206 ) / 83018

GCD(403, 206) = 83018 / 83018

GCD(403, 206) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 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 403, 206, 82, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 149, 75, 863
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• GCD of 506, 203, 49, 773
• GCD of 856, 917, 98, 417
• GCD of 983, 918, 74, 566

1. What is the GCD of 403, 206, 82, 400?

GCD of 403, 206, 82, 400 is 1

2. Where do I get the detailed procedure to find GCD of 403, 206, 82, 400?

You can find a detailed procedure to find GCD of 403, 206, 82, 400 on our page.

3. How to find GCD of 403, 206, 82, 400 on a calculator?

You can find the GCD of 403, 206, 82, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.