GCD of 316, 864, 82, 135 Calculator

Given Input numbers are 316, 864, 82, 135

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 316, 864, 82, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 864, 82, 135 is 1.

Therefore, GCD of numbers 316, 864, 82, 135 is 1

Given Input Data is 316, 864, 82, 135

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 82 is 2 x 41

Prime Factorization of 135 is 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(316, 864) = 68256

GCD(316, 864) = ( 316 x 864 ) / 68256

GCD(316, 864) = 273024 / 68256

GCD(316, 864) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 82

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

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

GCD(4, 82) = 328 / 164

GCD(4, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

GCD of 316, 864, 82, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 472, 51, 663
• GCD of 309, 277, 59, 740
• GCD of 632, 835, 67, 622
• GCD of 646, 971, 50, 605
• GCD of 713, 605, 45, 580

1. What is the GCD of 316, 864, 82, 135?

GCD of 316, 864, 82, 135 is 1

2. Where do I get the detailed procedure to find GCD of 316, 864, 82, 135?

You can find a detailed procedure to find GCD of 316, 864, 82, 135 on our page.

3. How to find GCD of 316, 864, 82, 135 on a calculator?

You can find the GCD of 316, 864, 82, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.