GCD of 104, 964, 859, 564 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 104, 964, 859, 564 i.e. 1 largest integer that divides all the numbers equally.

GCD of 104, 964, 859, 564 is 1

GCD(104, 964, 859, 564) = 1

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

GCD of

GCD of numbers 104, 964, 859, 564 is 1

GCD(104, 964, 859, 564) = 1

GCD of 104,964,859,564 Calculator

GCDof 104,964,859,564 is 1

Given Input numbers are 104, 964, 859, 564

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

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

Greatest Common Divisior

We found the divisors of 104, 964, 859, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 964, 859, 564 is 1.

Therefore, GCD of numbers 104, 964, 859, 564 is 1

Finding GCD of 104, 964, 859, 564 using Prime Factorization

Given Input Data is 104, 964, 859, 564

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 859 is 859

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

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

Finding GCD of 104, 964, 859, 564 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(104, 964) = 25064

GCD(104, 964) = ( 104 x 964 ) / 25064

GCD(104, 964) = 100256 / 25064

GCD(104, 964) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 859

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

LCM(4, 859) = 3436

GCD(4, 859) = ( 4 x 859 ) / 3436

GCD(4, 859) = 3436 / 3436

GCD(4, 859) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 104, 964, 859, 564 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 104, 964, 859, 564

1. What is the GCD of 104, 964, 859, 564?

GCD of 104, 964, 859, 564 is 1


2. Where do I get the detailed procedure to find GCD of 104, 964, 859, 564?

You can find a detailed procedure to find GCD of 104, 964, 859, 564 on our page.


3. How to find GCD of 104, 964, 859, 564 on a calculator?

You can find the GCD of 104, 964, 859, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.