GCD of 218, 723, 734, 861 Calculator

Given Input numbers are 218, 723, 734, 861

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 218, 723, 734, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 723, 734, 861 is 1.

Therefore, GCD of numbers 218, 723, 734, 861 is 1

Given Input Data is 218, 723, 734, 861

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 723 is 3 x 241

Prime Factorization of 734 is 2 x 367

Prime Factorization of 861 is 3 x 7 x 41

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(218, 723) = 157614

GCD(218, 723) = ( 218 x 723 ) / 157614

GCD(218, 723) = 157614 / 157614

GCD(218, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 218, 723, 734, 861 is 1

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1. What is the GCD of 218, 723, 734, 861?

GCD of 218, 723, 734, 861 is 1

2. Where do I get the detailed procedure to find GCD of 218, 723, 734, 861?

You can find a detailed procedure to find GCD of 218, 723, 734, 861 on our page.

3. How to find GCD of 218, 723, 734, 861 on a calculator?

You can find the GCD of 218, 723, 734, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.