GCD of 564, 925, 88, 820 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, 925, 88, 820 i.e. 1 largest integer that divides all the numbers equally.

GCD of 564, 925, 88, 820 is 1

GCD(564, 925, 88, 820) = 1

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

GCD of

GCD of numbers 564, 925, 88, 820 is 1

GCD(564, 925, 88, 820) = 1

GCD of 564,925,88,820 Calculator

GCDof 564,925,88,820 is 1

Given Input numbers are 564, 925, 88, 820

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 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 564, 925, 88, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 925, 88, 820 is 1.

Therefore, GCD of numbers 564, 925, 88, 820 is 1

Finding GCD of 564, 925, 88, 820 using Prime Factorization

Given Input Data is 564, 925, 88, 820

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 925 is 5 x 5 x 37

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 820 is 2 x 2 x 5 x 41

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

Finding GCD of 564, 925, 88, 820 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, 925) = 521700

GCD(564, 925) = ( 564 x 925 ) / 521700

GCD(564, 925) = 521700 / 521700

GCD(564, 925) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 564, 925, 88, 820 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 564, 925, 88, 820

1. What is the GCD of 564, 925, 88, 820?

GCD of 564, 925, 88, 820 is 1


2. Where do I get the detailed procedure to find GCD of 564, 925, 88, 820?

You can find a detailed procedure to find GCD of 564, 925, 88, 820 on our page.


3. How to find GCD of 564, 925, 88, 820 on a calculator?

You can find the GCD of 564, 925, 88, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.