GCD of 516, 308, 730, 371 Calculator

Given Input numbers are 516, 308, 730, 371

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 516, 308, 730, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 308, 730, 371 is 1.

Therefore, GCD of numbers 516, 308, 730, 371 is 1

Given Input Data is 516, 308, 730, 371

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 308 is 2 x 2 x 7 x 11

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 371 is 7 x 53

The above numbers do not have any common prime factor. So GCD is 1

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, 308) = 39732

GCD(516, 308) = ( 516 x 308 ) / 39732

GCD(516, 308) = 158928 / 39732

GCD(516, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 730

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

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

GCD(4, 730) = 2920 / 1460

GCD(4, 730) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 371

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

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

GCD(2, 371) = 742 / 742

GCD(2, 371) = 1

GCD of 516, 308, 730, 371 is 1

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1. What is the GCD of 516, 308, 730, 371?

GCD of 516, 308, 730, 371 is 1

2. Where do I get the detailed procedure to find GCD of 516, 308, 730, 371?

You can find a detailed procedure to find GCD of 516, 308, 730, 371 on our page.

3. How to find GCD of 516, 308, 730, 371 on a calculator?

You can find the GCD of 516, 308, 730, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.