GCD of 873, 690, 104, 972 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 873, 690, 104, 972 i.e. 1 largest integer that divides all the numbers equally.

GCD of 873, 690, 104, 972 is 1

GCD(873, 690, 104, 972) = 1

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

GCD of

GCD of numbers 873, 690, 104, 972 is 1

GCD(873, 690, 104, 972) = 1

GCD of 873,690,104,972 Calculator

GCDof 873,690,104,972 is 1

Given Input numbers are 873, 690, 104, 972

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

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 873, 690, 104, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 690, 104, 972 is 1.

Therefore, GCD of numbers 873, 690, 104, 972 is 1

Finding GCD of 873, 690, 104, 972 using Prime Factorization

Given Input Data is 873, 690, 104, 972

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 690 is 2 x 3 x 5 x 23

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Finding GCD of 873, 690, 104, 972 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(873, 690) = 200790

GCD(873, 690) = ( 873 x 690 ) / 200790

GCD(873, 690) = 602370 / 200790

GCD(873, 690) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 104

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

LCM(3, 104) = 312

GCD(3, 104) = ( 3 x 104 ) / 312

GCD(3, 104) = 312 / 312

GCD(3, 104) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 873, 690, 104, 972 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 873, 690, 104, 972

1. What is the GCD of 873, 690, 104, 972?

GCD of 873, 690, 104, 972 is 1


2. Where do I get the detailed procedure to find GCD of 873, 690, 104, 972?

You can find a detailed procedure to find GCD of 873, 690, 104, 972 on our page.


3. How to find GCD of 873, 690, 104, 972 on a calculator?

You can find the GCD of 873, 690, 104, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.