GCD of 912, 254, 165, 983 Calculator

Given Input numbers are 912, 254, 165, 983

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 912, 254, 165, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 254, 165, 983 is 1.

Therefore, GCD of numbers 912, 254, 165, 983 is 1

Given Input Data is 912, 254, 165, 983

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 254 is 2 x 127

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 983 is 983

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(912, 254) = 115824

GCD(912, 254) = ( 912 x 254 ) / 115824

GCD(912, 254) = 231648 / 115824

GCD(912, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 165

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

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

GCD(2, 165) = 330 / 330

GCD(2, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 912, 254, 165, 983 is 1

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• GCD of 412, 746, 146, 559
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• GCD of 660, 306, 165, 568

1. What is the GCD of 912, 254, 165, 983?

GCD of 912, 254, 165, 983 is 1

2. Where do I get the detailed procedure to find GCD of 912, 254, 165, 983?

You can find a detailed procedure to find GCD of 912, 254, 165, 983 on our page.

3. How to find GCD of 912, 254, 165, 983 on a calculator?

You can find the GCD of 912, 254, 165, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.