GCD of 423, 238, 216, 705 Calculator

Given Input numbers are 423, 238, 216, 705

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 423, 238, 216, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 238, 216, 705 is 1.

Therefore, GCD of numbers 423, 238, 216, 705 is 1

Given Input Data is 423, 238, 216, 705

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 705 is 3 x 5 x 47

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(423, 238) = 100674

GCD(423, 238) = ( 423 x 238 ) / 100674

GCD(423, 238) = 100674 / 100674

GCD(423, 238) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 423, 238, 216, 705 is 1

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1. What is the GCD of 423, 238, 216, 705?

GCD of 423, 238, 216, 705 is 1

2. Where do I get the detailed procedure to find GCD of 423, 238, 216, 705?

You can find a detailed procedure to find GCD of 423, 238, 216, 705 on our page.

3. How to find GCD of 423, 238, 216, 705 on a calculator?

You can find the GCD of 423, 238, 216, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.