GCD of 572, 504, 75, 464 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 572, 504, 75, 464 i.e. 1 largest integer that divides all the numbers equally.

GCD of 572, 504, 75, 464 is 1

GCD(572, 504, 75, 464) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 572, 504, 75, 464 is 1

GCD(572, 504, 75, 464) = 1

GCD of 572,504,75,464 Calculator

GCDof 572,504,75,464 is 1

Given Input numbers are 572, 504, 75, 464

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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

Greatest Common Divisior

We found the divisors of 572, 504, 75, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 504, 75, 464 is 1.

Therefore, GCD of numbers 572, 504, 75, 464 is 1

Finding GCD of 572, 504, 75, 464 using Prime Factorization

Given Input Data is 572, 504, 75, 464

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 75 is 3 x 5 x 5

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

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 572, 504, 75, 464 using LCM Formula

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(572, 504) = 72072

GCD(572, 504) = ( 572 x 504 ) / 72072

GCD(572, 504) = 288288 / 72072

GCD(572, 504) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1


Step3:

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

GCD of 572, 504, 75, 464 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 572, 504, 75, 464

1. What is the GCD of 572, 504, 75, 464?

GCD of 572, 504, 75, 464 is 1


2. Where do I get the detailed procedure to find GCD of 572, 504, 75, 464?

You can find a detailed procedure to find GCD of 572, 504, 75, 464 on our page.


3. How to find GCD of 572, 504, 75, 464 on a calculator?

You can find the GCD of 572, 504, 75, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.