GCD of 523, 908, 12, 972 Calculator

Given Input numbers are 523, 908, 12, 972

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 908

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

1, 2, 4, 227, 454, 908

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 523, 908, 12, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 908, 12, 972 is 1.

Therefore, GCD of numbers 523, 908, 12, 972 is 1

Given Input Data is 523, 908, 12, 972

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

Prime Factorization of 523 is 523

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(523, 908) = 474884

GCD(523, 908) = ( 523 x 908 ) / 474884

GCD(523, 908) = 474884 / 474884

GCD(523, 908) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 523, 908, 12, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 312, 72, 593
• GCD of 357, 276, 16, 551
• GCD of 277, 372, 41, 976
• GCD of 191, 841, 59, 506
• GCD of 213, 331, 85, 229

1. What is the GCD of 523, 908, 12, 972?

GCD of 523, 908, 12, 972 is 1

2. Where do I get the detailed procedure to find GCD of 523, 908, 12, 972?

You can find a detailed procedure to find GCD of 523, 908, 12, 972 on our page.

3. How to find GCD of 523, 908, 12, 972 on a calculator?

You can find the GCD of 523, 908, 12, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.