GCD of 22, 402, 825, 279 Calculator

Given Input numbers are 22, 402, 825, 279

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 22, 402, 825, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 402, 825, 279 is 1.

Therefore, GCD of numbers 22, 402, 825, 279 is 1

Given Input Data is 22, 402, 825, 279

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 279 is 3 x 3 x 31

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(22, 402) = 4422

GCD(22, 402) = ( 22 x 402 ) / 4422

GCD(22, 402) = 8844 / 4422

GCD(22, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 22, 402, 825, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 910, 755, 681
• GCD of 25, 369, 542, 607
• GCD of 62, 845, 336, 618
• GCD of 68, 124, 358, 208
• GCD of 66, 592, 600, 322

1. What is the GCD of 22, 402, 825, 279?

GCD of 22, 402, 825, 279 is 1

2. Where do I get the detailed procedure to find GCD of 22, 402, 825, 279?

You can find a detailed procedure to find GCD of 22, 402, 825, 279 on our page.

3. How to find GCD of 22, 402, 825, 279 on a calculator?

You can find the GCD of 22, 402, 825, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.