GCD of 344, 552, 744, 214 Calculator

Given Input numbers are 344, 552, 744, 214

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 344, 552, 744, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 552, 744, 214 is 2.

Therefore, GCD of numbers 344, 552, 744, 214 is 2

Given Input Data is 344, 552, 744, 214

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 214 is 2 x 107

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(344, 552) = 23736

GCD(344, 552) = ( 344 x 552 ) / 23736

GCD(344, 552) = 189888 / 23736

GCD(344, 552) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 744

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

LCM(8, 744) = 744

GCD(8, 744) = ( 8 x 744 ) / 744

GCD(8, 744) = 5952 / 744

GCD(8, 744) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 214

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

LCM(8, 214) = 856

GCD(8, 214) = ( 8 x 214 ) / 856

GCD(8, 214) = 1712 / 856

GCD(8, 214) = 2

GCD of 344, 552, 744, 214 is 2

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1. What is the GCD of 344, 552, 744, 214?

GCD of 344, 552, 744, 214 is 2

2. Where do I get the detailed procedure to find GCD of 344, 552, 744, 214?

You can find a detailed procedure to find GCD of 344, 552, 744, 214 on our page.

3. How to find GCD of 344, 552, 744, 214 on a calculator?

You can find the GCD of 344, 552, 744, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.