GCD of 897, 588, 99, 336 Calculator

Given Input numbers are 897, 588, 99, 336

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

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 897, 588, 99, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 588, 99, 336 is 3.

Therefore, GCD of numbers 897, 588, 99, 336 is 3

Given Input Data is 897, 588, 99, 336

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

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(897, 588) = 175812

GCD(897, 588) = ( 897 x 588 ) / 175812

GCD(897, 588) = 527436 / 175812

GCD(897, 588) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 336

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

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

GCD(3, 336) = 1008 / 336

GCD(3, 336) = 3

GCD of 897, 588, 99, 336 is 3

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1. What is the GCD of 897, 588, 99, 336?

GCD of 897, 588, 99, 336 is 3

2. Where do I get the detailed procedure to find GCD of 897, 588, 99, 336?

You can find a detailed procedure to find GCD of 897, 588, 99, 336 on our page.

3. How to find GCD of 897, 588, 99, 336 on a calculator?

You can find the GCD of 897, 588, 99, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.