GCD of 42, 588, 633, 641 Calculator

Given Input numbers are 42, 588, 633, 641

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Greatest Common Divisior

We found the divisors of 42, 588, 633, 641 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 588, 633, 641 is 1.

Therefore, GCD of numbers 42, 588, 633, 641 is 1

Given Input Data is 42, 588, 633, 641

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 633 is 3 x 211

Prime Factorization of 641 is 641

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(42, 588) = 588

GCD(42, 588) = ( 42 x 588 ) / 588

GCD(42, 588) = 24696 / 588

GCD(42, 588) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 633

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

LCM(42, 633) = 8862

GCD(42, 633) = ( 42 x 633 ) / 8862

GCD(42, 633) = 26586 / 8862

GCD(42, 633) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 641

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

LCM(3, 641) = 1923

GCD(3, 641) = ( 3 x 641 ) / 1923

GCD(3, 641) = 1923 / 1923

GCD(3, 641) = 1

GCD of 42, 588, 633, 641 is 1

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• GCD of 38, 293, 510, 968
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1. What is the GCD of 42, 588, 633, 641?

GCD of 42, 588, 633, 641 is 1

2. Where do I get the detailed procedure to find GCD of 42, 588, 633, 641?

You can find a detailed procedure to find GCD of 42, 588, 633, 641 on our page.

3. How to find GCD of 42, 588, 633, 641 on a calculator?

You can find the GCD of 42, 588, 633, 641 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.