GCD of 584, 163, 800, 169 Calculator

Given Input numbers are 584, 163, 800, 169

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 584, 163, 800, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 163, 800, 169 is 1.

Therefore, GCD of numbers 584, 163, 800, 169 is 1

Given Input Data is 584, 163, 800, 169

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 163 is 163

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 169 is 13 x 13

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(584, 163) = 95192

GCD(584, 163) = ( 584 x 163 ) / 95192

GCD(584, 163) = 95192 / 95192

GCD(584, 163) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 584, 163, 800, 169 is 1

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1. What is the GCD of 584, 163, 800, 169?

GCD of 584, 163, 800, 169 is 1

2. Where do I get the detailed procedure to find GCD of 584, 163, 800, 169?

You can find a detailed procedure to find GCD of 584, 163, 800, 169 on our page.

3. How to find GCD of 584, 163, 800, 169 on a calculator?

You can find the GCD of 584, 163, 800, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.