GCD of 312, 885, 651 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 312, 885, 651 i.e. 3 largest integer that divides all the numbers equally.

GCD of 312, 885, 651 is 3

GCD(312, 885, 651) = 3

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

GCD of

GCD of numbers 312, 885, 651 is 3

GCD(312, 885, 651) = 3

GCD of 312,885,651 Calculator

GCDof 312,885,651 is 3

Given Input numbers are 312, 885, 651

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 312, 885, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 885, 651 is 3.

Therefore, GCD of numbers 312, 885, 651 is 3

Finding GCD of 312, 885, 651 using Prime Factorization

Given Input Data is 312, 885, 651

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 651 is 3 x 7 x 31

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 312, 885, 651 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(312, 885) = 92040

GCD(312, 885) = ( 312 x 885 ) / 92040

GCD(312, 885) = 276120 / 92040

GCD(312, 885) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 651

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

LCM(3, 651) = 651

GCD(3, 651) = ( 3 x 651 ) / 651

GCD(3, 651) = 1953 / 651

GCD(3, 651) = 3

GCD of 312, 885, 651 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 312, 885, 651

1. What is the GCD of 312, 885, 651?

GCD of 312, 885, 651 is 3


2. Where do I get the detailed procedure to find GCD of 312, 885, 651?

You can find a detailed procedure to find GCD of 312, 885, 651 on our page.


3. How to find GCD of 312, 885, 651 on a calculator?

You can find the GCD of 312, 885, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.