GCD of 316, 590, 428 Calculator

Given Input numbers are 316, 590, 428

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 316, 590, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 590, 428 is 2.

Therefore, GCD of numbers 316, 590, 428 is 2

Given Input Data is 316, 590, 428

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 428 is 2 x 2 x 107

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(316, 590) = 93220

GCD(316, 590) = ( 316 x 590 ) / 93220

GCD(316, 590) = 186440 / 93220

GCD(316, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 428

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

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

GCD(2, 428) = 856 / 428

GCD(2, 428) = 2

GCD of 316, 590, 428 is 2

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1. What is the GCD of 316, 590, 428?

GCD of 316, 590, 428 is 2

2. Where do I get the detailed procedure to find GCD of 316, 590, 428?

You can find a detailed procedure to find GCD of 316, 590, 428 on our page.

3. How to find GCD of 316, 590, 428 on a calculator?

You can find the GCD of 316, 590, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.