GCD of 564, 597, 50, 275 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 564, 597, 50, 275 i.e. 1 largest integer that divides all the numbers equally.

GCD of 564, 597, 50, 275 is 1

GCD(564, 597, 50, 275) = 1

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

GCD of

GCD of numbers 564, 597, 50, 275 is 1

GCD(564, 597, 50, 275) = 1

GCD of 564,597,50,275 Calculator

GCDof 564,597,50,275 is 1

Given Input numbers are 564, 597, 50, 275

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 564, 597, 50, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 597, 50, 275 is 1.

Therefore, GCD of numbers 564, 597, 50, 275 is 1

Finding GCD of 564, 597, 50, 275 using Prime Factorization

Given Input Data is 564, 597, 50, 275

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 597 is 3 x 199

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 275 is 5 x 5 x 11

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

Finding GCD of 564, 597, 50, 275 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(564, 597) = 112236

GCD(564, 597) = ( 564 x 597 ) / 112236

GCD(564, 597) = 336708 / 112236

GCD(564, 597) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 50

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

LCM(3, 50) = 150

GCD(3, 50) = ( 3 x 50 ) / 150

GCD(3, 50) = 150 / 150

GCD(3, 50) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 564, 597, 50, 275 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 564, 597, 50, 275

1. What is the GCD of 564, 597, 50, 275?

GCD of 564, 597, 50, 275 is 1


2. Where do I get the detailed procedure to find GCD of 564, 597, 50, 275?

You can find a detailed procedure to find GCD of 564, 597, 50, 275 on our page.


3. How to find GCD of 564, 597, 50, 275 on a calculator?

You can find the GCD of 564, 597, 50, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.