GCD of 10, 734, 353, 328 Calculator

Given Input numbers are 10, 734, 353, 328

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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 10, 734, 353, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 734, 353, 328 is 1.

Therefore, GCD of numbers 10, 734, 353, 328 is 1

Given Input Data is 10, 734, 353, 328

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 734 is 2 x 367

Prime Factorization of 353 is 353

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(10, 734) = 3670

GCD(10, 734) = ( 10 x 734 ) / 3670

GCD(10, 734) = 7340 / 3670

GCD(10, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 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 10, 734, 353, 328 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 313, 597, 552
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• GCD of 13, 688, 816, 915
• GCD of 78, 924, 273, 656
• GCD of 11, 690, 506, 380

1. What is the GCD of 10, 734, 353, 328?

GCD of 10, 734, 353, 328 is 1

2. Where do I get the detailed procedure to find GCD of 10, 734, 353, 328?

You can find a detailed procedure to find GCD of 10, 734, 353, 328 on our page.

3. How to find GCD of 10, 734, 353, 328 on a calculator?

You can find the GCD of 10, 734, 353, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.