GCD of 897, 702, 657, 327 Calculator

Given Input numbers are 897, 702, 657, 327

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 897, 702, 657, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 702, 657, 327 is 3.

Therefore, GCD of numbers 897, 702, 657, 327 is 3

Given Input Data is 897, 702, 657, 327

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 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 327 is 3 x 109

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, 702) = 16146

GCD(897, 702) = ( 897 x 702 ) / 16146

GCD(897, 702) = 629694 / 16146

GCD(897, 702) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 657

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

LCM(39, 657) = 8541

GCD(39, 657) = ( 39 x 657 ) / 8541

GCD(39, 657) = 25623 / 8541

GCD(39, 657) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 327

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

LCM(3, 327) = 327

GCD(3, 327) = ( 3 x 327 ) / 327

GCD(3, 327) = 981 / 327

GCD(3, 327) = 3

GCD of 897, 702, 657, 327 is 3

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1. What is the GCD of 897, 702, 657, 327?

GCD of 897, 702, 657, 327 is 3

2. Where do I get the detailed procedure to find GCD of 897, 702, 657, 327?

You can find a detailed procedure to find GCD of 897, 702, 657, 327 on our page.

3. How to find GCD of 897, 702, 657, 327 on a calculator?

You can find the GCD of 897, 702, 657, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.