GCD of 14, 18, 69, 72 Calculator

Given Input numbers are 14, 18, 69, 72

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 14, 18, 69, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 18, 69, 72 is 1.

Therefore, GCD of numbers 14, 18, 69, 72 is 1

Given Input Data is 14, 18, 69, 72

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 69 is 3 x 23

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(14, 18) = 126

GCD(14, 18) = ( 14 x 18 ) / 126

GCD(14, 18) = 252 / 126

GCD(14, 18) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

GCD of 14, 18, 69, 72 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 53, 62, 51
• GCD of 76, 76, 88, 85
• GCD of 98, 39, 60, 90
• GCD of 40, 41, 72, 50
• GCD of 70, 88, 83, 11

1. What is the GCD of 14, 18, 69, 72?

GCD of 14, 18, 69, 72 is 1

2. Where do I get the detailed procedure to find GCD of 14, 18, 69, 72?

You can find a detailed procedure to find GCD of 14, 18, 69, 72 on our page.

3. How to find GCD of 14, 18, 69, 72 on a calculator?

You can find the GCD of 14, 18, 69, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.