GCD of 588, 844, 340 Calculator

Given Input numbers are 588, 844, 340

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 588, 844, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 844, 340 is 4.

Therefore, GCD of numbers 588, 844, 340 is 4

Given Input Data is 588, 844, 340

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 340 is 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(588, 844) = 124068

GCD(588, 844) = ( 588 x 844 ) / 124068

GCD(588, 844) = 496272 / 124068

GCD(588, 844) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 340

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

LCM(4, 340) = 340

GCD(4, 340) = ( 4 x 340 ) / 340

GCD(4, 340) = 1360 / 340

GCD(4, 340) = 4

GCD of 588, 844, 340 is 4

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1. What is the GCD of 588, 844, 340?

GCD of 588, 844, 340 is 4

2. Where do I get the detailed procedure to find GCD of 588, 844, 340?

You can find a detailed procedure to find GCD of 588, 844, 340 on our page.

3. How to find GCD of 588, 844, 340 on a calculator?

You can find the GCD of 588, 844, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.