GCD of 554, 198, 50, 722 Calculator

Given Input numbers are 554, 198, 50, 722

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 554, 198, 50, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 198, 50, 722 is 2.

Therefore, GCD of numbers 554, 198, 50, 722 is 2

Given Input Data is 554, 198, 50, 722

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 722 is 2 x 19 x 19

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(554, 198) = 54846

GCD(554, 198) = ( 554 x 198 ) / 54846

GCD(554, 198) = 109692 / 54846

GCD(554, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

GCD of 554, 198, 50, 722 is 2

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1. What is the GCD of 554, 198, 50, 722?

GCD of 554, 198, 50, 722 is 2

2. Where do I get the detailed procedure to find GCD of 554, 198, 50, 722?

You can find a detailed procedure to find GCD of 554, 198, 50, 722 on our page.

3. How to find GCD of 554, 198, 50, 722 on a calculator?

You can find the GCD of 554, 198, 50, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.