GCD of 834, 372, 60, 894 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, 372, 60, 894 i.e. 6 largest integer that divides all the numbers equally.

GCD of 834, 372, 60, 894 is 6

GCD(834, 372, 60, 894) = 6

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

GCD of

GCD of numbers 834, 372, 60, 894 is 6

GCD(834, 372, 60, 894) = 6

GCD of 834,372,60,894 Calculator

GCDof 834,372,60,894 is 6

Given Input numbers are 834, 372, 60, 894

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 834, 372, 60, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 372, 60, 894 is 6.

Therefore, GCD of numbers 834, 372, 60, 894 is 6

Finding GCD of 834, 372, 60, 894 using Prime Factorization

Given Input Data is 834, 372, 60, 894

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 372 is 2 x 2 x 3 x 31

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 894 is 2 x 3 x 149

Highest common occurrences in the given inputs are 21 x 31

Multiplying them we get the GCD as 6

Finding GCD of 834, 372, 60, 894 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, 372) = 51708

GCD(834, 372) = ( 834 x 372 ) / 51708

GCD(834, 372) = 310248 / 51708

GCD(834, 372) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 60

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

LCM(6, 60) = 60

GCD(6, 60) = ( 6 x 60 ) / 60

GCD(6, 60) = 360 / 60

GCD(6, 60) = 6


Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 894

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

LCM(6, 894) = 894

GCD(6, 894) = ( 6 x 894 ) / 894

GCD(6, 894) = 5364 / 894

GCD(6, 894) = 6

GCD of 834, 372, 60, 894 is 6

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 834, 372, 60, 894

1. What is the GCD of 834, 372, 60, 894?

GCD of 834, 372, 60, 894 is 6


2. Where do I get the detailed procedure to find GCD of 834, 372, 60, 894?

You can find a detailed procedure to find GCD of 834, 372, 60, 894 on our page.


3. How to find GCD of 834, 372, 60, 894 on a calculator?

You can find the GCD of 834, 372, 60, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.