GCD of 500, 643, 74, 639 Calculator

Given Input numbers are 500, 643, 74, 639

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 500, 643, 74, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 643, 74, 639 is 1.

Therefore, GCD of numbers 500, 643, 74, 639 is 1

Given Input Data is 500, 643, 74, 639

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 643 is 643

Prime Factorization of 74 is 2 x 37

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(500, 643) = 321500

GCD(500, 643) = ( 500 x 643 ) / 321500

GCD(500, 643) = 321500 / 321500

GCD(500, 643) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 639

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

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

GCD(1, 639) = 639 / 639

GCD(1, 639) = 1

GCD of 500, 643, 74, 639 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 692, 19, 939
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• GCD of 827, 994, 98, 611

1. What is the GCD of 500, 643, 74, 639?

GCD of 500, 643, 74, 639 is 1

2. Where do I get the detailed procedure to find GCD of 500, 643, 74, 639?

You can find a detailed procedure to find GCD of 500, 643, 74, 639 on our page.

3. How to find GCD of 500, 643, 74, 639 on a calculator?

You can find the GCD of 500, 643, 74, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.