GCD of 188, 642, 404, 245 Calculator

Given Input numbers are 188, 642, 404, 245

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

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Greatest Common Divisior

We found the divisors of 188, 642, 404, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 642, 404, 245 is 1.

Therefore, GCD of numbers 188, 642, 404, 245 is 1

Given Input Data is 188, 642, 404, 245

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

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 245 is 5 x 7 x 7

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(188, 642) = 60348

GCD(188, 642) = ( 188 x 642 ) / 60348

GCD(188, 642) = 120696 / 60348

GCD(188, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 245

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

LCM(2, 245) = 490

GCD(2, 245) = ( 2 x 245 ) / 490

GCD(2, 245) = 490 / 490

GCD(2, 245) = 1

GCD of 188, 642, 404, 245 is 1

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1. What is the GCD of 188, 642, 404, 245?

GCD of 188, 642, 404, 245 is 1

2. Where do I get the detailed procedure to find GCD of 188, 642, 404, 245?

You can find a detailed procedure to find GCD of 188, 642, 404, 245 on our page.

3. How to find GCD of 188, 642, 404, 245 on a calculator?

You can find the GCD of 188, 642, 404, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.