GCD of 214, 342, 227, 672 Calculator

Given Input numbers are 214, 342, 227, 672

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

Divisors of 214

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

1, 2, 107, 214

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 214, 342, 227, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 342, 227, 672 is 1.

Therefore, GCD of numbers 214, 342, 227, 672 is 1

Given Input Data is 214, 342, 227, 672

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 227 is 227

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(214, 342) = 36594

GCD(214, 342) = ( 214 x 342 ) / 36594

GCD(214, 342) = 73188 / 36594

GCD(214, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 227

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

LCM(2, 227) = 454

GCD(2, 227) = ( 2 x 227 ) / 454

GCD(2, 227) = 454 / 454

GCD(2, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 214, 342, 227, 672 is 1

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1. What is the GCD of 214, 342, 227, 672?

GCD of 214, 342, 227, 672 is 1

2. Where do I get the detailed procedure to find GCD of 214, 342, 227, 672?

You can find a detailed procedure to find GCD of 214, 342, 227, 672 on our page.

3. How to find GCD of 214, 342, 227, 672 on a calculator?

You can find the GCD of 214, 342, 227, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.