GCD of 417, 108, 938, 367 Calculator

Given Input numbers are 417, 108, 938, 367

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 417, 108, 938, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 417, 108, 938, 367 is 1.

Therefore, GCD of numbers 417, 108, 938, 367 is 1

Given Input Data is 417, 108, 938, 367

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

Prime Factorization of 417 is 3 x 139

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 367 is 367

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(417, 108) = 15012

GCD(417, 108) = ( 417 x 108 ) / 15012

GCD(417, 108) = 45036 / 15012

GCD(417, 108) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 938

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

LCM(3, 938) = 2814

GCD(3, 938) = ( 3 x 938 ) / 2814

GCD(3, 938) = 2814 / 2814

GCD(3, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 417, 108, 938, 367 is 1

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1. What is the GCD of 417, 108, 938, 367?

GCD of 417, 108, 938, 367 is 1

2. Where do I get the detailed procedure to find GCD of 417, 108, 938, 367?

You can find a detailed procedure to find GCD of 417, 108, 938, 367 on our page.

3. How to find GCD of 417, 108, 938, 367 on a calculator?

You can find the GCD of 417, 108, 938, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.