GCD of 925, 309, 789, 838 Calculator

Given Input numbers are 925, 309, 789, 838

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

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

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 925, 309, 789, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 309, 789, 838 is 1.

Therefore, GCD of numbers 925, 309, 789, 838 is 1

Given Input Data is 925, 309, 789, 838

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

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 309 is 3 x 103

Prime Factorization of 789 is 3 x 263

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(925, 309) = 285825

GCD(925, 309) = ( 925 x 309 ) / 285825

GCD(925, 309) = 285825 / 285825

GCD(925, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 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 925, 309, 789, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 781, 100, 663
• GCD of 483, 267, 816, 402
• GCD of 464, 144, 137, 411
• GCD of 868, 888, 338, 285
• GCD of 250, 236, 889, 967

1. What is the GCD of 925, 309, 789, 838?

GCD of 925, 309, 789, 838 is 1

2. Where do I get the detailed procedure to find GCD of 925, 309, 789, 838?

You can find a detailed procedure to find GCD of 925, 309, 789, 838 on our page.

3. How to find GCD of 925, 309, 789, 838 on a calculator?

You can find the GCD of 925, 309, 789, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.