GCD of 990, 326, 59, 694 Calculator

Given Input numbers are 990, 326, 59, 694

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 990, 326, 59, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 326, 59, 694 is 1.

Therefore, GCD of numbers 990, 326, 59, 694 is 1

Given Input Data is 990, 326, 59, 694

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 326 is 2 x 163

Prime Factorization of 59 is 59

Prime Factorization of 694 is 2 x 347

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(990, 326) = 161370

GCD(990, 326) = ( 990 x 326 ) / 161370

GCD(990, 326) = 322740 / 161370

GCD(990, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 990, 326, 59, 694 is 1

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1. What is the GCD of 990, 326, 59, 694?

GCD of 990, 326, 59, 694 is 1

2. Where do I get the detailed procedure to find GCD of 990, 326, 59, 694?

You can find a detailed procedure to find GCD of 990, 326, 59, 694 on our page.

3. How to find GCD of 990, 326, 59, 694 on a calculator?

You can find the GCD of 990, 326, 59, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.