GCD of 609, 825, 86, 838 Calculator

Given Input numbers are 609, 825, 86, 838

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

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 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 609, 825, 86, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 825, 86, 838 is 1.

Therefore, GCD of numbers 609, 825, 86, 838 is 1

Given Input Data is 609, 825, 86, 838

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

Prime Factorization of 609 is 3 x 7 x 29

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 838 is 2 x 419

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(609, 825) = 167475

GCD(609, 825) = ( 609 x 825 ) / 167475

GCD(609, 825) = 502425 / 167475

GCD(609, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 609, 825, 86, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 363, 10, 355
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• GCD of 425, 181, 50, 154
• GCD of 302, 752, 73, 105

1. What is the GCD of 609, 825, 86, 838?

GCD of 609, 825, 86, 838 is 1

2. Where do I get the detailed procedure to find GCD of 609, 825, 86, 838?

You can find a detailed procedure to find GCD of 609, 825, 86, 838 on our page.

3. How to find GCD of 609, 825, 86, 838 on a calculator?

You can find the GCD of 609, 825, 86, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.