GCD of 984, 838, 269, 939 Calculator

Given Input numbers are 984, 838, 269, 939

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 838

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

1, 2, 419, 838

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

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 984, 838, 269, 939 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 838, 269, 939 is 1.

Therefore, GCD of numbers 984, 838, 269, 939 is 1

Given Input Data is 984, 838, 269, 939

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 838 is 2 x 419

Prime Factorization of 269 is 269

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(984, 838) = 412296

GCD(984, 838) = ( 984 x 838 ) / 412296

GCD(984, 838) = 824592 / 412296

GCD(984, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 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 984, 838, 269, 939 is 1

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1. What is the GCD of 984, 838, 269, 939?

GCD of 984, 838, 269, 939 is 1

2. Where do I get the detailed procedure to find GCD of 984, 838, 269, 939?

You can find a detailed procedure to find GCD of 984, 838, 269, 939 on our page.

3. How to find GCD of 984, 838, 269, 939 on a calculator?

You can find the GCD of 984, 838, 269, 939 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.