GCD of 52, 68, 34, 18 Calculator

Given Input numbers are 52, 68, 34, 18

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 34

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

1, 2, 17, 34

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 52, 68, 34, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 68, 34, 18 is 2.

Therefore, GCD of numbers 52, 68, 34, 18 is 2

Given Input Data is 52, 68, 34, 18

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 68 is 2 x 2 x 17

Prime Factorization of 34 is 2 x 17

Prime Factorization of 18 is 2 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 68) = 884

GCD(52, 68) = ( 52 x 68 ) / 884

GCD(52, 68) = 3536 / 884

GCD(52, 68) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 34

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

LCM(4, 34) = 68

GCD(4, 34) = ( 4 x 34 ) / 68

GCD(4, 34) = 136 / 68

GCD(4, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

GCD of 52, 68, 34, 18 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 51, 45, 40
• GCD of 64, 62, 73, 99
• GCD of 68, 75, 30, 26
• GCD of 42, 18, 69, 62
• GCD of 73, 29, 51, 19

1. What is the GCD of 52, 68, 34, 18?

GCD of 52, 68, 34, 18 is 2

2. Where do I get the detailed procedure to find GCD of 52, 68, 34, 18?

You can find a detailed procedure to find GCD of 52, 68, 34, 18 on our page.

3. How to find GCD of 52, 68, 34, 18 on a calculator?

You can find the GCD of 52, 68, 34, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.