GCD of 550, 214, 94, 388 Calculator

Given Input numbers are 550, 214, 94, 388

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 550, 214, 94, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 214, 94, 388 is 2.

Therefore, GCD of numbers 550, 214, 94, 388 is 2

Given Input Data is 550, 214, 94, 388

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 214 is 2 x 107

Prime Factorization of 94 is 2 x 47

Prime Factorization of 388 is 2 x 2 x 97

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(550, 214) = 58850

GCD(550, 214) = ( 550 x 214 ) / 58850

GCD(550, 214) = 117700 / 58850

GCD(550, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

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

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

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

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 2

GCD of 550, 214, 94, 388 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 679, 37, 788
• GCD of 625, 920, 14, 642
• GCD of 114, 661, 63, 693
• GCD of 400, 292, 79, 568
• GCD of 188, 112, 67, 666

1. What is the GCD of 550, 214, 94, 388?

GCD of 550, 214, 94, 388 is 2

2. Where do I get the detailed procedure to find GCD of 550, 214, 94, 388?

You can find a detailed procedure to find GCD of 550, 214, 94, 388 on our page.

3. How to find GCD of 550, 214, 94, 388 on a calculator?

You can find the GCD of 550, 214, 94, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.