GCD of 52, 966, 938, 259 Calculator

Given Input numbers are 52, 966, 938, 259

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 52, 966, 938, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 966, 938, 259 is 1.

Therefore, GCD of numbers 52, 966, 938, 259 is 1

Given Input Data is 52, 966, 938, 259

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 259 is 7 x 37

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(52, 966) = 25116

GCD(52, 966) = ( 52 x 966 ) / 25116

GCD(52, 966) = 50232 / 25116

GCD(52, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 259

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

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

GCD(2, 259) = 518 / 518

GCD(2, 259) = 1

GCD of 52, 966, 938, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 138, 950, 806
• GCD of 84, 926, 660, 383
• GCD of 82, 293, 174, 362
• GCD of 54, 292, 731, 971
• GCD of 23, 800, 335, 982

1. What is the GCD of 52, 966, 938, 259?

GCD of 52, 966, 938, 259 is 1

2. Where do I get the detailed procedure to find GCD of 52, 966, 938, 259?

You can find a detailed procedure to find GCD of 52, 966, 938, 259 on our page.

3. How to find GCD of 52, 966, 938, 259 on a calculator?

You can find the GCD of 52, 966, 938, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.