GCD of 548, 916, 222, 133 Calculator

Given Input numbers are 548, 916, 222, 133

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 548, 916, 222, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 916, 222, 133 is 1.

Therefore, GCD of numbers 548, 916, 222, 133 is 1

Given Input Data is 548, 916, 222, 133

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 133 is 7 x 19

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(548, 916) = 125492

GCD(548, 916) = ( 548 x 916 ) / 125492

GCD(548, 916) = 501968 / 125492

GCD(548, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 222

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

LCM(4, 222) = 444

GCD(4, 222) = ( 4 x 222 ) / 444

GCD(4, 222) = 888 / 444

GCD(4, 222) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

GCD of 548, 916, 222, 133 is 1

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1. What is the GCD of 548, 916, 222, 133?

GCD of 548, 916, 222, 133 is 1

2. Where do I get the detailed procedure to find GCD of 548, 916, 222, 133?

You can find a detailed procedure to find GCD of 548, 916, 222, 133 on our page.

3. How to find GCD of 548, 916, 222, 133 on a calculator?

You can find the GCD of 548, 916, 222, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.