GCD of 264, 930, 89, 422 Calculator

Given Input numbers are 264, 930, 89, 422

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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 264, 930, 89, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 930, 89, 422 is 1.

Therefore, GCD of numbers 264, 930, 89, 422 is 1

Given Input Data is 264, 930, 89, 422

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 89 is 89

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(264, 930) = 40920

GCD(264, 930) = ( 264 x 930 ) / 40920

GCD(264, 930) = 245520 / 40920

GCD(264, 930) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 89

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

LCM(6, 89) = 534

GCD(6, 89) = ( 6 x 89 ) / 534

GCD(6, 89) = 534 / 534

GCD(6, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 264, 930, 89, 422 is 1

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1. What is the GCD of 264, 930, 89, 422?

GCD of 264, 930, 89, 422 is 1

2. Where do I get the detailed procedure to find GCD of 264, 930, 89, 422?

You can find a detailed procedure to find GCD of 264, 930, 89, 422 on our page.

3. How to find GCD of 264, 930, 89, 422 on a calculator?

You can find the GCD of 264, 930, 89, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.