GCD of 648, 434, 22, 214 Calculator

Given Input numbers are 648, 434, 22, 214

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 648, 434, 22, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 434, 22, 214 is 2.

Therefore, GCD of numbers 648, 434, 22, 214 is 2

Given Input Data is 648, 434, 22, 214

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 22 is 2 x 11

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(648, 434) = 140616

GCD(648, 434) = ( 648 x 434 ) / 140616

GCD(648, 434) = 281232 / 140616

GCD(648, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

GCD of 648, 434, 22, 214 is 2

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1. What is the GCD of 648, 434, 22, 214?

GCD of 648, 434, 22, 214 is 2

2. Where do I get the detailed procedure to find GCD of 648, 434, 22, 214?

You can find a detailed procedure to find GCD of 648, 434, 22, 214 on our page.

3. How to find GCD of 648, 434, 22, 214 on a calculator?

You can find the GCD of 648, 434, 22, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.