GCD of 65, 922, 468, 825 Calculator

Given Input numbers are 65, 922, 468, 825

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 922

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

1, 2, 461, 922

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 65, 922, 468, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 922, 468, 825 is 1.

Therefore, GCD of numbers 65, 922, 468, 825 is 1

Given Input Data is 65, 922, 468, 825

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 922 is 2 x 461

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(65, 922) = 59930

GCD(65, 922) = ( 65 x 922 ) / 59930

GCD(65, 922) = 59930 / 59930

GCD(65, 922) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 65, 922, 468, 825 is 1

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1. What is the GCD of 65, 922, 468, 825?

GCD of 65, 922, 468, 825 is 1

2. Where do I get the detailed procedure to find GCD of 65, 922, 468, 825?

You can find a detailed procedure to find GCD of 65, 922, 468, 825 on our page.

3. How to find GCD of 65, 922, 468, 825 on a calculator?

You can find the GCD of 65, 922, 468, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.