GCD of 217, 671, 854, 243 Calculator

Given Input numbers are 217, 671, 854, 243

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 217, 671, 854, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 671, 854, 243 is 1.

Therefore, GCD of numbers 217, 671, 854, 243 is 1

Given Input Data is 217, 671, 854, 243

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 671 is 11 x 61

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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(217, 671) = 145607

GCD(217, 671) = ( 217 x 671 ) / 145607

GCD(217, 671) = 145607 / 145607

GCD(217, 671) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 217, 671, 854, 243 is 1

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1. What is the GCD of 217, 671, 854, 243?

GCD of 217, 671, 854, 243 is 1

2. Where do I get the detailed procedure to find GCD of 217, 671, 854, 243?

You can find a detailed procedure to find GCD of 217, 671, 854, 243 on our page.

3. How to find GCD of 217, 671, 854, 243 on a calculator?

You can find the GCD of 217, 671, 854, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.