GCD of 18, 39, 53, 67 Calculator

Given Input numbers are 18, 39, 53, 67

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

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Greatest Common Divisior

We found the divisors of 18, 39, 53, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 39, 53, 67 is 1.

Therefore, GCD of numbers 18, 39, 53, 67 is 1

Given Input Data is 18, 39, 53, 67

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 39 is 3 x 13

Prime Factorization of 53 is 53

Prime Factorization of 67 is 67

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(18, 39) = 234

GCD(18, 39) = ( 18 x 39 ) / 234

GCD(18, 39) = 702 / 234

GCD(18, 39) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

GCD of 18, 39, 53, 67 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 18, 66, 79
• GCD of 72, 64, 83, 70
• GCD of 40, 13, 18, 24
• GCD of 73, 78, 70, 37
• GCD of 37, 92, 96, 12

1. What is the GCD of 18, 39, 53, 67?

GCD of 18, 39, 53, 67 is 1

2. Where do I get the detailed procedure to find GCD of 18, 39, 53, 67?

You can find a detailed procedure to find GCD of 18, 39, 53, 67 on our page.

3. How to find GCD of 18, 39, 53, 67 on a calculator?

You can find the GCD of 18, 39, 53, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.