GCD of 891, 614, 198, 322 Calculator

Given Input numbers are 891, 614, 198, 322

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 891, 614, 198, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 614, 198, 322 is 1.

Therefore, GCD of numbers 891, 614, 198, 322 is 1

Given Input Data is 891, 614, 198, 322

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 614 is 2 x 307

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 322 is 2 x 7 x 23

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(891, 614) = 547074

GCD(891, 614) = ( 891 x 614 ) / 547074

GCD(891, 614) = 547074 / 547074

GCD(891, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 891, 614, 198, 322 is 1

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1. What is the GCD of 891, 614, 198, 322?

GCD of 891, 614, 198, 322 is 1

2. Where do I get the detailed procedure to find GCD of 891, 614, 198, 322?

You can find a detailed procedure to find GCD of 891, 614, 198, 322 on our page.

3. How to find GCD of 891, 614, 198, 322 on a calculator?

You can find the GCD of 891, 614, 198, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.