GCD of 106, 936, 922, 825 Calculator

Given Input numbers are 106, 936, 922, 825

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 922

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

1, 2, 461, 922

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

Greatest Common Divisior

We found the divisors of 106, 936, 922, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 936, 922, 825 is 1.

Therefore, GCD of numbers 106, 936, 922, 825 is 1

Given Input Data is 106, 936, 922, 825

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 922 is 2 x 461

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

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(106, 936) = 49608

GCD(106, 936) = ( 106 x 936 ) / 49608

GCD(106, 936) = 99216 / 49608

GCD(106, 936) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 922

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

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

GCD(2, 922) = 1844 / 922

GCD(2, 922) = 2

Step3:

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

GCD of 106, 936, 922, 825 is 1

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1. What is the GCD of 106, 936, 922, 825?

GCD of 106, 936, 922, 825 is 1

2. Where do I get the detailed procedure to find GCD of 106, 936, 922, 825?

You can find a detailed procedure to find GCD of 106, 936, 922, 825 on our page.

3. How to find GCD of 106, 936, 922, 825 on a calculator?

You can find the GCD of 106, 936, 922, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.