GCD of 51, 189, 838, 939 Calculator

Given Input numbers are 51, 189, 838, 939

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 838

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

1, 2, 419, 838

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Greatest Common Divisior

We found the divisors of 51, 189, 838, 939 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 189, 838, 939 is 1.

Therefore, GCD of numbers 51, 189, 838, 939 is 1

Given Input Data is 51, 189, 838, 939

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 838 is 2 x 419

Prime Factorization of 939 is 3 x 313

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(51, 189) = 3213

GCD(51, 189) = ( 51 x 189 ) / 3213

GCD(51, 189) = 9639 / 3213

GCD(51, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 838

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

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

GCD(3, 838) = 2514 / 2514

GCD(3, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 939

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

LCM(1, 939) = 939

GCD(1, 939) = ( 1 x 939 ) / 939

GCD(1, 939) = 939 / 939

GCD(1, 939) = 1

GCD of 51, 189, 838, 939 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 836, 428, 581
• GCD of 10, 679, 683, 152
• GCD of 31, 816, 596, 689
• GCD of 91, 142, 901, 534
• GCD of 63, 854, 943, 213

1. What is the GCD of 51, 189, 838, 939?

GCD of 51, 189, 838, 939 is 1

2. Where do I get the detailed procedure to find GCD of 51, 189, 838, 939?

You can find a detailed procedure to find GCD of 51, 189, 838, 939 on our page.

3. How to find GCD of 51, 189, 838, 939 on a calculator?

You can find the GCD of 51, 189, 838, 939 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.