GCD of 222, 148, 50, 728 Calculator

Given Input numbers are 222, 148, 50, 728

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 222, 148, 50, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 148, 50, 728 is 2.

Therefore, GCD of numbers 222, 148, 50, 728 is 2

Given Input Data is 222, 148, 50, 728

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(222, 148) = 444

GCD(222, 148) = ( 222 x 148 ) / 444

GCD(222, 148) = 32856 / 444

GCD(222, 148) = 74

Step2:

Here we consider the GCD from the above i.e. 74 as first number and the next as 50

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

LCM(74, 50) = 1850

GCD(74, 50) = ( 74 x 50 ) / 1850

GCD(74, 50) = 3700 / 1850

GCD(74, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

GCD of 222, 148, 50, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 869, 40, 371
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• GCD of 146, 545, 34, 855

1. What is the GCD of 222, 148, 50, 728?

GCD of 222, 148, 50, 728 is 2

2. Where do I get the detailed procedure to find GCD of 222, 148, 50, 728?

You can find a detailed procedure to find GCD of 222, 148, 50, 728 on our page.

3. How to find GCD of 222, 148, 50, 728 on a calculator?

You can find the GCD of 222, 148, 50, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.