GCD of 39, 918, 750, 422 Calculator

Given Input numbers are 39, 918, 750, 422

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 39, 918, 750, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 918, 750, 422 is 1.

Therefore, GCD of numbers 39, 918, 750, 422 is 1

Given Input Data is 39, 918, 750, 422

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 422 is 2 x 211

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(39, 918) = 11934

GCD(39, 918) = ( 39 x 918 ) / 11934

GCD(39, 918) = 35802 / 11934

GCD(39, 918) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 750

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

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

GCD(3, 750) = 2250 / 750

GCD(3, 750) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 422

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

LCM(3, 422) = 1266

GCD(3, 422) = ( 3 x 422 ) / 1266

GCD(3, 422) = 1266 / 1266

GCD(3, 422) = 1

GCD of 39, 918, 750, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 519, 351, 391
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• GCD of 69, 204, 836, 610
• GCD of 75, 506, 705, 165
• GCD of 12, 583, 743, 400

1. What is the GCD of 39, 918, 750, 422?

GCD of 39, 918, 750, 422 is 1

2. Where do I get the detailed procedure to find GCD of 39, 918, 750, 422?

You can find a detailed procedure to find GCD of 39, 918, 750, 422 on our page.

3. How to find GCD of 39, 918, 750, 422 on a calculator?

You can find the GCD of 39, 918, 750, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.