GCD of 516, 602, 428, 358 Calculator

Given Input numbers are 516, 602, 428, 358

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

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 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 428

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

1, 2, 4, 107, 214, 428

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 516, 602, 428, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 602, 428, 358 is 2.

Therefore, GCD of numbers 516, 602, 428, 358 is 2

Given Input Data is 516, 602, 428, 358

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

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 358 is 2 x 179

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(516, 602) = 3612

GCD(516, 602) = ( 516 x 602 ) / 3612

GCD(516, 602) = 310632 / 3612

GCD(516, 602) = 86

Step2:

Here we consider the GCD from the above i.e. 86 as first number and the next as 428

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

LCM(86, 428) = 18404

GCD(86, 428) = ( 86 x 428 ) / 18404

GCD(86, 428) = 36808 / 18404

GCD(86, 428) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

GCD of 516, 602, 428, 358 is 2

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• GCD of 447, 636, 330, 253
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1. What is the GCD of 516, 602, 428, 358?

GCD of 516, 602, 428, 358 is 2

2. Where do I get the detailed procedure to find GCD of 516, 602, 428, 358?

You can find a detailed procedure to find GCD of 516, 602, 428, 358 on our page.

3. How to find GCD of 516, 602, 428, 358 on a calculator?

You can find the GCD of 516, 602, 428, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.