GCD of 113, 489, 292, 864 Calculator

Given Input numbers are 113, 489, 292, 864

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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

Greatest Common Divisior

We found the divisors of 113, 489, 292, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 489, 292, 864 is 1.

Therefore, GCD of numbers 113, 489, 292, 864 is 1

Given Input Data is 113, 489, 292, 864

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

Prime Factorization of 113 is 113

Prime Factorization of 489 is 3 x 163

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 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(113, 489) = 55257

GCD(113, 489) = ( 113 x 489 ) / 55257

GCD(113, 489) = 55257 / 55257

GCD(113, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 113, 489, 292, 864 is 1

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1. What is the GCD of 113, 489, 292, 864?

GCD of 113, 489, 292, 864 is 1

2. Where do I get the detailed procedure to find GCD of 113, 489, 292, 864?

You can find a detailed procedure to find GCD of 113, 489, 292, 864 on our page.

3. How to find GCD of 113, 489, 292, 864 on a calculator?

You can find the GCD of 113, 489, 292, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.