GCD of 210, 903, 87 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 210, 903, 87 i.e. 3 largest integer that divides all the numbers equally.

GCD of 210, 903, 87 is 3

GCD(210, 903, 87) = 3

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

GCD of

GCD of numbers 210, 903, 87 is 3

GCD(210, 903, 87) = 3

GCD of 210,903,87 Calculator

GCDof 210,903,87 is 3

Given Input numbers are 210, 903, 87

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 210, 903, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 903, 87 is 3.

Therefore, GCD of numbers 210, 903, 87 is 3

Finding GCD of 210, 903, 87 using Prime Factorization

Given Input Data is 210, 903, 87

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 87 is 3 x 29

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 210, 903, 87 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(210, 903) = 9030

GCD(210, 903) = ( 210 x 903 ) / 9030

GCD(210, 903) = 189630 / 9030

GCD(210, 903) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 87

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

LCM(21, 87) = 609

GCD(21, 87) = ( 21 x 87 ) / 609

GCD(21, 87) = 1827 / 609

GCD(21, 87) = 3

GCD of 210, 903, 87 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 210, 903, 87

1. What is the GCD of 210, 903, 87?

GCD of 210, 903, 87 is 3

2. Where do I get the detailed procedure to find GCD of 210, 903, 87?

You can find a detailed procedure to find GCD of 210, 903, 87 on our page.

3. How to find GCD of 210, 903, 87 on a calculator?

You can find the GCD of 210, 903, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.