GCD of 724, 442, 516, 170 Calculator

Given Input numbers are 724, 442, 516, 170

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 724, 442, 516, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 442, 516, 170 is 2.

Therefore, GCD of numbers 724, 442, 516, 170 is 2

Given Input Data is 724, 442, 516, 170

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 170 is 2 x 5 x 17

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(724, 442) = 160004

GCD(724, 442) = ( 724 x 442 ) / 160004

GCD(724, 442) = 320008 / 160004

GCD(724, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 170

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

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

GCD(2, 170) = 340 / 170

GCD(2, 170) = 2

GCD of 724, 442, 516, 170 is 2

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• GCD of 168, 414, 119, 753
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• GCD of 913, 228, 905, 628

1. What is the GCD of 724, 442, 516, 170?

GCD of 724, 442, 516, 170 is 2

2. Where do I get the detailed procedure to find GCD of 724, 442, 516, 170?

You can find a detailed procedure to find GCD of 724, 442, 516, 170 on our page.

3. How to find GCD of 724, 442, 516, 170 on a calculator?

You can find the GCD of 724, 442, 516, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.