GCD of 417, 327, 699, 936 Calculator

Given Input numbers are 417, 327, 699, 936

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

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 327

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

1, 3, 109, 327

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 417, 327, 699, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 417, 327, 699, 936 is 3.

Therefore, GCD of numbers 417, 327, 699, 936 is 3

Given Input Data is 417, 327, 699, 936

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

Prime Factorization of 417 is 3 x 139

Prime Factorization of 327 is 3 x 109

Prime Factorization of 699 is 3 x 233

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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(417, 327) = 45453

GCD(417, 327) = ( 417 x 327 ) / 45453

GCD(417, 327) = 136359 / 45453

GCD(417, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 699

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

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

GCD(3, 699) = 2097 / 699

GCD(3, 699) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 936

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

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

GCD(3, 936) = 2808 / 936

GCD(3, 936) = 3

GCD of 417, 327, 699, 936 is 3

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1. What is the GCD of 417, 327, 699, 936?

GCD of 417, 327, 699, 936 is 3

2. Where do I get the detailed procedure to find GCD of 417, 327, 699, 936?

You can find a detailed procedure to find GCD of 417, 327, 699, 936 on our page.

3. How to find GCD of 417, 327, 699, 936 on a calculator?

You can find the GCD of 417, 327, 699, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.