GCD of 828, 189, 922, 412 Calculator

Given Input numbers are 828, 189, 922, 412

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 922

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

1, 2, 461, 922

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 828, 189, 922, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 189, 922, 412 is 1.

Therefore, GCD of numbers 828, 189, 922, 412 is 1

Given Input Data is 828, 189, 922, 412

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 922 is 2 x 461

Prime Factorization of 412 is 2 x 2 x 103

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(828, 189) = 17388

GCD(828, 189) = ( 828 x 189 ) / 17388

GCD(828, 189) = 156492 / 17388

GCD(828, 189) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 922

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

LCM(9, 922) = 8298

GCD(9, 922) = ( 9 x 922 ) / 8298

GCD(9, 922) = 8298 / 8298

GCD(9, 922) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 828, 189, 922, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 101, 238, 874
• GCD of 817, 356, 146, 304
• GCD of 240, 794, 853, 339
• GCD of 962, 688, 263, 918
• GCD of 283, 432, 781, 527

1. What is the GCD of 828, 189, 922, 412?

GCD of 828, 189, 922, 412 is 1

2. Where do I get the detailed procedure to find GCD of 828, 189, 922, 412?

You can find a detailed procedure to find GCD of 828, 189, 922, 412 on our page.

3. How to find GCD of 828, 189, 922, 412 on a calculator?

You can find the GCD of 828, 189, 922, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.