GCD of 459, 695, 74, 116 Calculator

Given Input numbers are 459, 695, 74, 116

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 116

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

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 459, 695, 74, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 695, 74, 116 is 1.

Therefore, GCD of numbers 459, 695, 74, 116 is 1

Given Input Data is 459, 695, 74, 116

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 695 is 5 x 139

Prime Factorization of 74 is 2 x 37

Prime Factorization of 116 is 2 x 2 x 29

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(459, 695) = 319005

GCD(459, 695) = ( 459 x 695 ) / 319005

GCD(459, 695) = 319005 / 319005

GCD(459, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 459, 695, 74, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 269, 12, 757
• GCD of 225, 978, 79, 856
• GCD of 240, 591, 15, 545
• GCD of 576, 201, 86, 694
• GCD of 660, 707, 60, 820

1. What is the GCD of 459, 695, 74, 116?

GCD of 459, 695, 74, 116 is 1

2. Where do I get the detailed procedure to find GCD of 459, 695, 74, 116?

You can find a detailed procedure to find GCD of 459, 695, 74, 116 on our page.

3. How to find GCD of 459, 695, 74, 116 on a calculator?

You can find the GCD of 459, 695, 74, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.