GCD of 563, 144, 464, 999 Calculator

Given Input numbers are 563, 144, 464, 999

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

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 563, 144, 464, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 144, 464, 999 is 1.

Therefore, GCD of numbers 563, 144, 464, 999 is 1

Given Input Data is 563, 144, 464, 999

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

Prime Factorization of 563 is 563

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(563, 144) = 81072

GCD(563, 144) = ( 563 x 144 ) / 81072

GCD(563, 144) = 81072 / 81072

GCD(563, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 563, 144, 464, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 685, 469, 101
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• GCD of 365, 146, 484, 253
• GCD of 366, 175, 164, 577

1. What is the GCD of 563, 144, 464, 999?

GCD of 563, 144, 464, 999 is 1

2. Where do I get the detailed procedure to find GCD of 563, 144, 464, 999?

You can find a detailed procedure to find GCD of 563, 144, 464, 999 on our page.

3. How to find GCD of 563, 144, 464, 999 on a calculator?

You can find the GCD of 563, 144, 464, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.