GCD of 523, 984, 21, 922 Calculator

Given Input numbers are 523, 984, 21, 922

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 523, 984, 21, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 984, 21, 922 is 1.

Therefore, GCD of numbers 523, 984, 21, 922 is 1

Given Input Data is 523, 984, 21, 922

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

Prime Factorization of 523 is 523

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 21 is 3 x 7

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(523, 984) = 514632

GCD(523, 984) = ( 523 x 984 ) / 514632

GCD(523, 984) = 514632 / 514632

GCD(523, 984) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 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 523, 984, 21, 922 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 934, 23, 484
• GCD of 570, 456, 67, 124
• GCD of 371, 476, 31, 785
• GCD of 371, 768, 67, 641
• GCD of 162, 823, 70, 886

1. What is the GCD of 523, 984, 21, 922?

GCD of 523, 984, 21, 922 is 1

2. Where do I get the detailed procedure to find GCD of 523, 984, 21, 922?

You can find a detailed procedure to find GCD of 523, 984, 21, 922 on our page.

3. How to find GCD of 523, 984, 21, 922 on a calculator?

You can find the GCD of 523, 984, 21, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.