GCD of 556, 352, 50, 730 Calculator

Given Input numbers are 556, 352, 50, 730

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 730

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

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

Greatest Common Divisior

We found the divisors of 556, 352, 50, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 352, 50, 730 is 2.

Therefore, GCD of numbers 556, 352, 50, 730 is 2

Given Input Data is 556, 352, 50, 730

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 730 is 2 x 5 x 73

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(556, 352) = 48928

GCD(556, 352) = ( 556 x 352 ) / 48928

GCD(556, 352) = 195712 / 48928

GCD(556, 352) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 50

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

LCM(4, 50) = 100

GCD(4, 50) = ( 4 x 50 ) / 100

GCD(4, 50) = 200 / 100

GCD(4, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

GCD of 556, 352, 50, 730 is 2

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1. What is the GCD of 556, 352, 50, 730?

GCD of 556, 352, 50, 730 is 2

2. Where do I get the detailed procedure to find GCD of 556, 352, 50, 730?

You can find a detailed procedure to find GCD of 556, 352, 50, 730 on our page.

3. How to find GCD of 556, 352, 50, 730 on a calculator?

You can find the GCD of 556, 352, 50, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.