GCD of 109, 396, 417, 352 Calculator

Given Input numbers are 109, 396, 417, 352

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 417

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

1, 3, 139, 417

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 109, 396, 417, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 396, 417, 352 is 1.

Therefore, GCD of numbers 109, 396, 417, 352 is 1

Given Input Data is 109, 396, 417, 352

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

Prime Factorization of 109 is 109

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 417 is 3 x 139

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(109, 396) = 43164

GCD(109, 396) = ( 109 x 396 ) / 43164

GCD(109, 396) = 43164 / 43164

GCD(109, 396) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 109, 396, 417, 352 is 1

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1. What is the GCD of 109, 396, 417, 352?

GCD of 109, 396, 417, 352 is 1

2. Where do I get the detailed procedure to find GCD of 109, 396, 417, 352?

You can find a detailed procedure to find GCD of 109, 396, 417, 352 on our page.

3. How to find GCD of 109, 396, 417, 352 on a calculator?

You can find the GCD of 109, 396, 417, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.