GCD of 651, 849, 51 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 651, 849, 51 i.e. 3 largest integer that divides all the numbers equally.

GCD of 651, 849, 51 is 3

GCD(651, 849, 51) = 3

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

GCD of

GCD of numbers 651, 849, 51 is 3

GCD(651, 849, 51) = 3

GCD of 651,849,51 Calculator

GCDof 651,849,51 is 3

Given Input numbers are 651, 849, 51

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

Divisors of 651

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

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 651, 849, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 849, 51 is 3.

Therefore, GCD of numbers 651, 849, 51 is 3

Finding GCD of 651, 849, 51 using Prime Factorization

Given Input Data is 651, 849, 51

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

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 849 is 3 x 283

Prime Factorization of 51 is 3 x 17

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 651, 849, 51 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(651, 849) = 184233

GCD(651, 849) = ( 651 x 849 ) / 184233

GCD(651, 849) = 552699 / 184233

GCD(651, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

GCD of 651, 849, 51 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 651, 849, 51

1. What is the GCD of 651, 849, 51?

GCD of 651, 849, 51 is 3

2. Where do I get the detailed procedure to find GCD of 651, 849, 51?

You can find a detailed procedure to find GCD of 651, 849, 51 on our page.

3. How to find GCD of 651, 849, 51 on a calculator?

You can find the GCD of 651, 849, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.