GCD of 69, 116, 360, 810 Calculator

Given Input numbers are 69, 116, 360, 810

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 69, 116, 360, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 116, 360, 810 is 1.

Therefore, GCD of numbers 69, 116, 360, 810 is 1

Given Input Data is 69, 116, 360, 810

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

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, 116) = 8004

GCD(69, 116) = ( 69 x 116 ) / 8004

GCD(69, 116) = 8004 / 8004

GCD(69, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 810

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

LCM(1, 810) = 810

GCD(1, 810) = ( 1 x 810 ) / 810

GCD(1, 810) = 810 / 810

GCD(1, 810) = 1

GCD of 69, 116, 360, 810 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 288, 100, 430
• GCD of 55, 300, 187, 757
• GCD of 57, 750, 528, 936
• GCD of 49, 661, 163, 435
• GCD of 46, 988, 822, 671

1. What is the GCD of 69, 116, 360, 810?

GCD of 69, 116, 360, 810 is 1

2. Where do I get the detailed procedure to find GCD of 69, 116, 360, 810?

You can find a detailed procedure to find GCD of 69, 116, 360, 810 on our page.

3. How to find GCD of 69, 116, 360, 810 on a calculator?

You can find the GCD of 69, 116, 360, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.