GCD of 300, 325, 106, 828 Calculator

Given Input numbers are 300, 325, 106, 828

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 106

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

1, 2, 53, 106

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

Greatest Common Divisior

We found the divisors of 300, 325, 106, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 325, 106, 828 is 1.

Therefore, GCD of numbers 300, 325, 106, 828 is 1

Given Input Data is 300, 325, 106, 828

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 106 is 2 x 53

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

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(300, 325) = 3900

GCD(300, 325) = ( 300 x 325 ) / 3900

GCD(300, 325) = 97500 / 3900

GCD(300, 325) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 106

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

LCM(25, 106) = 2650

GCD(25, 106) = ( 25 x 106 ) / 2650

GCD(25, 106) = 2650 / 2650

GCD(25, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 300, 325, 106, 828 is 1

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• GCD of 407, 358, 174, 942
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1. What is the GCD of 300, 325, 106, 828?

GCD of 300, 325, 106, 828 is 1

2. Where do I get the detailed procedure to find GCD of 300, 325, 106, 828?

You can find a detailed procedure to find GCD of 300, 325, 106, 828 on our page.

3. How to find GCD of 300, 325, 106, 828 on a calculator?

You can find the GCD of 300, 325, 106, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.