GCD of 138, 284, 13, 852 Calculator

Given Input numbers are 138, 284, 13, 852

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 138, 284, 13, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 284, 13, 852 is 1.

Therefore, GCD of numbers 138, 284, 13, 852 is 1

Given Input Data is 138, 284, 13, 852

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 13 is 13

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(138, 284) = 19596

GCD(138, 284) = ( 138 x 284 ) / 19596

GCD(138, 284) = 39192 / 19596

GCD(138, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 138, 284, 13, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 138, 73, 682
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• GCD of 461, 295, 35, 263
• GCD of 964, 852, 75, 681
• GCD of 812, 802, 58, 402

1. What is the GCD of 138, 284, 13, 852?

GCD of 138, 284, 13, 852 is 1

2. Where do I get the detailed procedure to find GCD of 138, 284, 13, 852?

You can find a detailed procedure to find GCD of 138, 284, 13, 852 on our page.

3. How to find GCD of 138, 284, 13, 852 on a calculator?

You can find the GCD of 138, 284, 13, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.