GCD of 828, 676, 294 Calculator

Given Input numbers are 828, 676, 294

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

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 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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 828, 676, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 676, 294 is 2.

Therefore, GCD of numbers 828, 676, 294 is 2

Given Input Data is 828, 676, 294

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

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 294 is 2 x 3 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(828, 676) = 139932

GCD(828, 676) = ( 828 x 676 ) / 139932

GCD(828, 676) = 559728 / 139932

GCD(828, 676) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 294

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

LCM(4, 294) = 588

GCD(4, 294) = ( 4 x 294 ) / 588

GCD(4, 294) = 1176 / 588

GCD(4, 294) = 2

GCD of 828, 676, 294 is 2

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1. What is the GCD of 828, 676, 294?

GCD of 828, 676, 294 is 2

2. Where do I get the detailed procedure to find GCD of 828, 676, 294?

You can find a detailed procedure to find GCD of 828, 676, 294 on our page.

3. How to find GCD of 828, 676, 294 on a calculator?

You can find the GCD of 828, 676, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.