GCD of 722, 207, 90, 328 Calculator

Given Input numbers are 722, 207, 90, 328

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 722, 207, 90, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 207, 90, 328 is 1.

Therefore, GCD of numbers 722, 207, 90, 328 is 1

Given Input Data is 722, 207, 90, 328

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 90 is 2 x 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(722, 207) = 149454

GCD(722, 207) = ( 722 x 207 ) / 149454

GCD(722, 207) = 149454 / 149454

GCD(722, 207) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 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 722, 207, 90, 328 is 1

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1. What is the GCD of 722, 207, 90, 328?

GCD of 722, 207, 90, 328 is 1

2. Where do I get the detailed procedure to find GCD of 722, 207, 90, 328?

You can find a detailed procedure to find GCD of 722, 207, 90, 328 on our page.

3. How to find GCD of 722, 207, 90, 328 on a calculator?

You can find the GCD of 722, 207, 90, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.