GCD of 339, 814, 538, 125 Calculator

Given Input numbers are 339, 814, 538, 125

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

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 339, 814, 538, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 814, 538, 125 is 1.

Therefore, GCD of numbers 339, 814, 538, 125 is 1

Given Input Data is 339, 814, 538, 125

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 538 is 2 x 269

Prime Factorization of 125 is 5 x 5 x 5

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(339, 814) = 275946

GCD(339, 814) = ( 339 x 814 ) / 275946

GCD(339, 814) = 275946 / 275946

GCD(339, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 339, 814, 538, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 240, 864, 782
• GCD of 758, 317, 293, 921
• GCD of 400, 191, 914, 624
• GCD of 489, 155, 118, 553
• GCD of 586, 292, 678, 101

1. What is the GCD of 339, 814, 538, 125?

GCD of 339, 814, 538, 125 is 1

2. Where do I get the detailed procedure to find GCD of 339, 814, 538, 125?

You can find a detailed procedure to find GCD of 339, 814, 538, 125 on our page.

3. How to find GCD of 339, 814, 538, 125 on a calculator?

You can find the GCD of 339, 814, 538, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.