GCD of 359, 657, 45, 328 Calculator

Given Input numbers are 359, 657, 45, 328

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 328

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

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

Greatest Common Divisior

We found the divisors of 359, 657, 45, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 657, 45, 328 is 1.

Therefore, GCD of numbers 359, 657, 45, 328 is 1

Given Input Data is 359, 657, 45, 328

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

Prime Factorization of 359 is 359

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 45 is 3 x 3 x 5

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

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(359, 657) = 235863

GCD(359, 657) = ( 359 x 657 ) / 235863

GCD(359, 657) = 235863 / 235863

GCD(359, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 359, 657, 45, 328 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 995, 63, 255
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• GCD of 797, 145, 52, 301

1. What is the GCD of 359, 657, 45, 328?

GCD of 359, 657, 45, 328 is 1

2. Where do I get the detailed procedure to find GCD of 359, 657, 45, 328?

You can find a detailed procedure to find GCD of 359, 657, 45, 328 on our page.

3. How to find GCD of 359, 657, 45, 328 on a calculator?

You can find the GCD of 359, 657, 45, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.