GCD of 605, 403, 508, 642 Calculator

Given Input numbers are 605, 403, 508, 642

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

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 403

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

1, 13, 31, 403

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 642

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

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

Greatest Common Divisior

We found the divisors of 605, 403, 508, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 403, 508, 642 is 1.

Therefore, GCD of numbers 605, 403, 508, 642 is 1

Given Input Data is 605, 403, 508, 642

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

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 403 is 13 x 31

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 642 is 2 x 3 x 107

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(605, 403) = 243815

GCD(605, 403) = ( 605 x 403 ) / 243815

GCD(605, 403) = 243815 / 243815

GCD(605, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 605, 403, 508, 642 is 1

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1. What is the GCD of 605, 403, 508, 642?

GCD of 605, 403, 508, 642 is 1

2. Where do I get the detailed procedure to find GCD of 605, 403, 508, 642?

You can find a detailed procedure to find GCD of 605, 403, 508, 642 on our page.

3. How to find GCD of 605, 403, 508, 642 on a calculator?

You can find the GCD of 605, 403, 508, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.