GCD of 298, 594, 216, 651 Calculator

Given Input numbers are 298, 594, 216, 651

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 298, 594, 216, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 594, 216, 651 is 1.

Therefore, GCD of numbers 298, 594, 216, 651 is 1

Given Input Data is 298, 594, 216, 651

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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

Prime Factorization of 651 is 3 x 7 x 31

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(298, 594) = 88506

GCD(298, 594) = ( 298 x 594 ) / 88506

GCD(298, 594) = 177012 / 88506

GCD(298, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 216

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

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

GCD(2, 216) = 432 / 216

GCD(2, 216) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 651

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

LCM(2, 651) = 1302

GCD(2, 651) = ( 2 x 651 ) / 1302

GCD(2, 651) = 1302 / 1302

GCD(2, 651) = 1

GCD of 298, 594, 216, 651 is 1

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1. What is the GCD of 298, 594, 216, 651?

GCD of 298, 594, 216, 651 is 1

2. Where do I get the detailed procedure to find GCD of 298, 594, 216, 651?

You can find a detailed procedure to find GCD of 298, 594, 216, 651 on our page.

3. How to find GCD of 298, 594, 216, 651 on a calculator?

You can find the GCD of 298, 594, 216, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.