GCD of 52, 3, 38, 34 Calculator

Given Input numbers are 52, 3, 38, 34

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 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 52, 3, 38, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 3, 38, 34 is 1.

Therefore, GCD of numbers 52, 3, 38, 34 is 1

Given Input Data is 52, 3, 38, 34

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 3 is 3

Prime Factorization of 38 is 2 x 19

Prime Factorization of 34 is 2 x 17

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, 3) = 156

GCD(52, 3) = ( 52 x 3 ) / 156

GCD(52, 3) = 156 / 156

GCD(52, 3) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

GCD of 52, 3, 38, 34 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 2, 90, 85
• GCD of 31, 3, 21, 78
• GCD of 21, 2, 37, 14
• GCD of 63, 8, 83, 93
• GCD of 96, 3, 92, 36

1. What is the GCD of 52, 3, 38, 34?

GCD of 52, 3, 38, 34 is 1

2. Where do I get the detailed procedure to find GCD of 52, 3, 38, 34?

You can find a detailed procedure to find GCD of 52, 3, 38, 34 on our page.

3. How to find GCD of 52, 3, 38, 34 on a calculator?

You can find the GCD of 52, 3, 38, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.