GCD of 52, 138, 205, 115 Calculator

Given Input numbers are 52, 138, 205, 115

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 138

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

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 52, 138, 205, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 138, 205, 115 is 1.

Therefore, GCD of numbers 52, 138, 205, 115 is 1

Given Input Data is 52, 138, 205, 115

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 138 is 2 x 3 x 23

Prime Factorization of 205 is 5 x 41

Prime Factorization of 115 is 5 x 23

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, 138) = 3588

GCD(52, 138) = ( 52 x 138 ) / 3588

GCD(52, 138) = 7176 / 3588

GCD(52, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 205

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

LCM(2, 205) = 410

GCD(2, 205) = ( 2 x 205 ) / 410

GCD(2, 205) = 410 / 410

GCD(2, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 52, 138, 205, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 352, 745, 520
• GCD of 45, 123, 729, 938
• GCD of 44, 657, 779, 227
• GCD of 54, 931, 943, 145
• GCD of 12, 565, 252, 263

1. What is the GCD of 52, 138, 205, 115?

GCD of 52, 138, 205, 115 is 1

2. Where do I get the detailed procedure to find GCD of 52, 138, 205, 115?

You can find a detailed procedure to find GCD of 52, 138, 205, 115 on our page.

3. How to find GCD of 52, 138, 205, 115 on a calculator?

You can find the GCD of 52, 138, 205, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.