GCD of 642, 950, 23, 218 Calculator

Given Input numbers are 642, 950, 23, 218

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

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 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 642, 950, 23, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 950, 23, 218 is 1.

Therefore, GCD of numbers 642, 950, 23, 218 is 1

Given Input Data is 642, 950, 23, 218

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 23 is 23

Prime Factorization of 218 is 2 x 109

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(642, 950) = 304950

GCD(642, 950) = ( 642 x 950 ) / 304950

GCD(642, 950) = 609900 / 304950

GCD(642, 950) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 642, 950, 23, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 195, 90, 617
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• GCD of 533, 226, 71, 175
• GCD of 268, 963, 93, 868
• GCD of 939, 313, 48, 918

1. What is the GCD of 642, 950, 23, 218?

GCD of 642, 950, 23, 218 is 1

2. Where do I get the detailed procedure to find GCD of 642, 950, 23, 218?

You can find a detailed procedure to find GCD of 642, 950, 23, 218 on our page.

3. How to find GCD of 642, 950, 23, 218 on a calculator?

You can find the GCD of 642, 950, 23, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.