GCD of 834, 676, 828, 243 Calculator

Given Input numbers are 834, 676, 828, 243

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 834, 676, 828, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 676, 828, 243 is 1.

Therefore, GCD of numbers 834, 676, 828, 243 is 1

Given Input Data is 834, 676, 828, 243

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 676 is 2 x 2 x 13 x 13

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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

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, 676) = 281892

GCD(834, 676) = ( 834 x 676 ) / 281892

GCD(834, 676) = 563784 / 281892

GCD(834, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 828

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

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

GCD(2, 828) = 1656 / 828

GCD(2, 828) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 243

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

LCM(2, 243) = 486

GCD(2, 243) = ( 2 x 243 ) / 486

GCD(2, 243) = 486 / 486

GCD(2, 243) = 1

GCD of 834, 676, 828, 243 is 1

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1. What is the GCD of 834, 676, 828, 243?

GCD of 834, 676, 828, 243 is 1

2. Where do I get the detailed procedure to find GCD of 834, 676, 828, 243?

You can find a detailed procedure to find GCD of 834, 676, 828, 243 on our page.

3. How to find GCD of 834, 676, 828, 243 on a calculator?

You can find the GCD of 834, 676, 828, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.