GCD of 403, 205, 672, 838 Calculator

Given Input numbers are 403, 205, 672, 838

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 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 403, 205, 672, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 205, 672, 838 is 1.

Therefore, GCD of numbers 403, 205, 672, 838 is 1

Given Input Data is 403, 205, 672, 838

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

Prime Factorization of 403 is 13 x 31

Prime Factorization of 205 is 5 x 41

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 838 is 2 x 419

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, 205) = 82615

GCD(403, 205) = ( 403 x 205 ) / 82615

GCD(403, 205) = 82615 / 82615

GCD(403, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 403, 205, 672, 838 is 1

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1. What is the GCD of 403, 205, 672, 838?

GCD of 403, 205, 672, 838 is 1

2. Where do I get the detailed procedure to find GCD of 403, 205, 672, 838?

You can find a detailed procedure to find GCD of 403, 205, 672, 838 on our page.

3. How to find GCD of 403, 205, 672, 838 on a calculator?

You can find the GCD of 403, 205, 672, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.