GCD of 828, 314, 592 Calculator

Given Input numbers are 828, 314, 592

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 828, 314, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 314, 592 is 2.

Therefore, GCD of numbers 828, 314, 592 is 2

Given Input Data is 828, 314, 592

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 314 is 2 x 157

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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, 314) = 129996

GCD(828, 314) = ( 828 x 314 ) / 129996

GCD(828, 314) = 259992 / 129996

GCD(828, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 592

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

LCM(2, 592) = 592

GCD(2, 592) = ( 2 x 592 ) / 592

GCD(2, 592) = 1184 / 592

GCD(2, 592) = 2

GCD of 828, 314, 592 is 2

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1. What is the GCD of 828, 314, 592?

GCD of 828, 314, 592 is 2

2. Where do I get the detailed procedure to find GCD of 828, 314, 592?

You can find a detailed procedure to find GCD of 828, 314, 592 on our page.

3. How to find GCD of 828, 314, 592 on a calculator?

You can find the GCD of 828, 314, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.