GCD of 864, 130, 59, 835 Calculator

Given Input numbers are 864, 130, 59, 835

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

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 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 864, 130, 59, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 130, 59, 835 is 1.

Therefore, GCD of numbers 864, 130, 59, 835 is 1

Given Input Data is 864, 130, 59, 835

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

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 59 is 59

Prime Factorization of 835 is 5 x 167

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(864, 130) = 56160

GCD(864, 130) = ( 864 x 130 ) / 56160

GCD(864, 130) = 112320 / 56160

GCD(864, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 835

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

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

GCD(1, 835) = 835 / 835

GCD(1, 835) = 1

GCD of 864, 130, 59, 835 is 1

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1. What is the GCD of 864, 130, 59, 835?

GCD of 864, 130, 59, 835 is 1

2. Where do I get the detailed procedure to find GCD of 864, 130, 59, 835?

You can find a detailed procedure to find GCD of 864, 130, 59, 835 on our page.

3. How to find GCD of 864, 130, 59, 835 on a calculator?

You can find the GCD of 864, 130, 59, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.