GCD of 402, 809, 16, 922 Calculator

Given Input numbers are 402, 809, 16, 922

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 402, 809, 16, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 809, 16, 922 is 1.

Therefore, GCD of numbers 402, 809, 16, 922 is 1

Given Input Data is 402, 809, 16, 922

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 809 is 809

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(402, 809) = 325218

GCD(402, 809) = ( 402 x 809 ) / 325218

GCD(402, 809) = 325218 / 325218

GCD(402, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 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 402, 809, 16, 922 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 413, 58, 111
• GCD of 111, 321, 43, 709
• GCD of 579, 253, 62, 944
• GCD of 398, 120, 27, 940
• GCD of 172, 932, 94, 881

1. What is the GCD of 402, 809, 16, 922?

GCD of 402, 809, 16, 922 is 1

2. Where do I get the detailed procedure to find GCD of 402, 809, 16, 922?

You can find a detailed procedure to find GCD of 402, 809, 16, 922 on our page.

3. How to find GCD of 402, 809, 16, 922 on a calculator?

You can find the GCD of 402, 809, 16, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.