GCD of 908, 584, 65, 922 Calculator

Given Input numbers are 908, 584, 65, 922

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 908, 584, 65, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 584, 65, 922 is 1.

Therefore, GCD of numbers 908, 584, 65, 922 is 1

Given Input Data is 908, 584, 65, 922

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 65 is 5 x 13

Prime Factorization of 922 is 2 x 461

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(908, 584) = 132568

GCD(908, 584) = ( 908 x 584 ) / 132568

GCD(908, 584) = 530272 / 132568

GCD(908, 584) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 65

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

LCM(4, 65) = 260

GCD(4, 65) = ( 4 x 65 ) / 260

GCD(4, 65) = 260 / 260

GCD(4, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 908, 584, 65, 922 is 1

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1. What is the GCD of 908, 584, 65, 922?

GCD of 908, 584, 65, 922 is 1

2. Where do I get the detailed procedure to find GCD of 908, 584, 65, 922?

You can find a detailed procedure to find GCD of 908, 584, 65, 922 on our page.

3. How to find GCD of 908, 584, 65, 922 on a calculator?

You can find the GCD of 908, 584, 65, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.