GCD of 328, 574, 42, 117 Calculator

Given Input numbers are 328, 574, 42, 117

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 328, 574, 42, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 574, 42, 117 is 1.

Therefore, GCD of numbers 328, 574, 42, 117 is 1

Given Input Data is 328, 574, 42, 117

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 117 is 3 x 3 x 13

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(328, 574) = 2296

GCD(328, 574) = ( 328 x 574 ) / 2296

GCD(328, 574) = 188272 / 2296

GCD(328, 574) = 82

Step2:

Here we consider the GCD from the above i.e. 82 as first number and the next as 42

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

LCM(82, 42) = 1722

GCD(82, 42) = ( 82 x 42 ) / 1722

GCD(82, 42) = 3444 / 1722

GCD(82, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 328, 574, 42, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 746, 36, 558
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• GCD of 272, 344, 49, 349
• GCD of 947, 575, 96, 895

1. What is the GCD of 328, 574, 42, 117?

GCD of 328, 574, 42, 117 is 1

2. Where do I get the detailed procedure to find GCD of 328, 574, 42, 117?

You can find a detailed procedure to find GCD of 328, 574, 42, 117 on our page.

3. How to find GCD of 328, 574, 42, 117 on a calculator?

You can find the GCD of 328, 574, 42, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.