GCD of 288, 671, 734, 213 Calculator

Given Input numbers are 288, 671, 734, 213

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 671

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

1, 11, 61, 671

Divisors of 734

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

1, 2, 367, 734

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 288, 671, 734, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 671, 734, 213 is 1.

Therefore, GCD of numbers 288, 671, 734, 213 is 1

Given Input Data is 288, 671, 734, 213

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 671 is 11 x 61

Prime Factorization of 734 is 2 x 367

Prime Factorization of 213 is 3 x 71

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(288, 671) = 193248

GCD(288, 671) = ( 288 x 671 ) / 193248

GCD(288, 671) = 193248 / 193248

GCD(288, 671) = 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 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 288, 671, 734, 213 is 1

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1. What is the GCD of 288, 671, 734, 213?

GCD of 288, 671, 734, 213 is 1

2. Where do I get the detailed procedure to find GCD of 288, 671, 734, 213?

You can find a detailed procedure to find GCD of 288, 671, 734, 213 on our page.

3. How to find GCD of 288, 671, 734, 213 on a calculator?

You can find the GCD of 288, 671, 734, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.