GCD of 834, 252, 31, 645 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 834, 252, 31, 645 i.e. 1 largest integer that divides all the numbers equally.

GCD of 834, 252, 31, 645 is 1

GCD(834, 252, 31, 645) = 1

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

GCD of

GCD of numbers 834, 252, 31, 645 is 1

GCD(834, 252, 31, 645) = 1

GCD of 834,252,31,645 Calculator

GCDof 834,252,31,645 is 1

Given Input numbers are 834, 252, 31, 645

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 834, 252, 31, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 252, 31, 645 is 1.

Therefore, GCD of numbers 834, 252, 31, 645 is 1

Finding GCD of 834, 252, 31, 645 using Prime Factorization

Given Input Data is 834, 252, 31, 645

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 31 is 31

Prime Factorization of 645 is 3 x 5 x 43

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

Finding GCD of 834, 252, 31, 645 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(834, 252) = 35028

GCD(834, 252) = ( 834 x 252 ) / 35028

GCD(834, 252) = 210168 / 35028

GCD(834, 252) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 31

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

LCM(6, 31) = 186

GCD(6, 31) = ( 6 x 31 ) / 186

GCD(6, 31) = 186 / 186

GCD(6, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 834, 252, 31, 645 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 834, 252, 31, 645

1. What is the GCD of 834, 252, 31, 645?

GCD of 834, 252, 31, 645 is 1


2. Where do I get the detailed procedure to find GCD of 834, 252, 31, 645?

You can find a detailed procedure to find GCD of 834, 252, 31, 645 on our page.


3. How to find GCD of 834, 252, 31, 645 on a calculator?

You can find the GCD of 834, 252, 31, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.