GCD of 69, 67, 65, 27 Calculator

Given Input numbers are 69, 67, 65, 27

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

Divisors of 69

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

1, 3, 23, 69

Divisors of 67

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

1, 67

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Greatest Common Divisior

We found the divisors of 69, 67, 65, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 67, 65, 27 is 1.

Therefore, GCD of numbers 69, 67, 65, 27 is 1

Given Input Data is 69, 67, 65, 27

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 67 is 67

Prime Factorization of 65 is 5 x 13

Prime Factorization of 27 is 3 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(69, 67) = 4623

GCD(69, 67) = ( 69 x 67 ) / 4623

GCD(69, 67) = 4623 / 4623

GCD(69, 67) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

GCD of 69, 67, 65, 27 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 41, 24, 63
• GCD of 58, 24, 60, 22
• GCD of 65, 51, 41, 30
• GCD of 37, 43, 26, 54
• GCD of 51, 18, 58, 22

1. What is the GCD of 69, 67, 65, 27?

GCD of 69, 67, 65, 27 is 1

2. Where do I get the detailed procedure to find GCD of 69, 67, 65, 27?

You can find a detailed procedure to find GCD of 69, 67, 65, 27 on our page.

3. How to find GCD of 69, 67, 65, 27 on a calculator?

You can find the GCD of 69, 67, 65, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.