GCD of 570, 464, 116, 342 Calculator

Given Input numbers are 570, 464, 116, 342

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 570, 464, 116, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 464, 116, 342 is 2.

Therefore, GCD of numbers 570, 464, 116, 342 is 2

Given Input Data is 570, 464, 116, 342

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(570, 464) = 132240

GCD(570, 464) = ( 570 x 464 ) / 132240

GCD(570, 464) = 264480 / 132240

GCD(570, 464) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 116

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

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

GCD(2, 116) = 232 / 116

GCD(2, 116) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

GCD of 570, 464, 116, 342 is 2

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1. What is the GCD of 570, 464, 116, 342?

GCD of 570, 464, 116, 342 is 2

2. Where do I get the detailed procedure to find GCD of 570, 464, 116, 342?

You can find a detailed procedure to find GCD of 570, 464, 116, 342 on our page.

3. How to find GCD of 570, 464, 116, 342 on a calculator?

You can find the GCD of 570, 464, 116, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.