GCD of 658, 284, 42, 639 Calculator

Given Input numbers are 658, 284, 42, 639

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 658, 284, 42, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 284, 42, 639 is 1.

Therefore, GCD of numbers 658, 284, 42, 639 is 1

Given Input Data is 658, 284, 42, 639

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 639 is 3 x 3 x 71

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(658, 284) = 93436

GCD(658, 284) = ( 658 x 284 ) / 93436

GCD(658, 284) = 186872 / 93436

GCD(658, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 639

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

LCM(2, 639) = 1278

GCD(2, 639) = ( 2 x 639 ) / 1278

GCD(2, 639) = 1278 / 1278

GCD(2, 639) = 1

GCD of 658, 284, 42, 639 is 1

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1. What is the GCD of 658, 284, 42, 639?

GCD of 658, 284, 42, 639 is 1

2. Where do I get the detailed procedure to find GCD of 658, 284, 42, 639?

You can find a detailed procedure to find GCD of 658, 284, 42, 639 on our page.

3. How to find GCD of 658, 284, 42, 639 on a calculator?

You can find the GCD of 658, 284, 42, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.