GCD of 572, 408, 71, 760 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, 408, 71, 760 i.e. 1 largest integer that divides all the numbers equally.

GCD of 572, 408, 71, 760 is 1

GCD(572, 408, 71, 760) = 1

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

GCD of

GCD of numbers 572, 408, 71, 760 is 1

GCD(572, 408, 71, 760) = 1

GCD of 572,408,71,760 Calculator

GCDof 572,408,71,760 is 1

Given Input numbers are 572, 408, 71, 760

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 572, 408, 71, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 408, 71, 760 is 1.

Therefore, GCD of numbers 572, 408, 71, 760 is 1

Finding GCD of 572, 408, 71, 760 using Prime Factorization

Given Input Data is 572, 408, 71, 760

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 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 71 is 71

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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

Finding GCD of 572, 408, 71, 760 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, 408) = 58344

GCD(572, 408) = ( 572 x 408 ) / 58344

GCD(572, 408) = 233376 / 58344

GCD(572, 408) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 71

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

LCM(4, 71) = 284

GCD(4, 71) = ( 4 x 71 ) / 284

GCD(4, 71) = 284 / 284

GCD(4, 71) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 572, 408, 71, 760 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 572, 408, 71, 760

1. What is the GCD of 572, 408, 71, 760?

GCD of 572, 408, 71, 760 is 1


2. Where do I get the detailed procedure to find GCD of 572, 408, 71, 760?

You can find a detailed procedure to find GCD of 572, 408, 71, 760 on our page.


3. How to find GCD of 572, 408, 71, 760 on a calculator?

You can find the GCD of 572, 408, 71, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.