GCD of 345, 993, 99, 694 Calculator

Given Input numbers are 345, 993, 99, 694

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 345, 993, 99, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 993, 99, 694 is 1.

Therefore, GCD of numbers 345, 993, 99, 694 is 1

Given Input Data is 345, 993, 99, 694

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 993 is 3 x 331

Prime Factorization of 99 is 3 x 3 x 11

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(345, 993) = 114195

GCD(345, 993) = ( 345 x 993 ) / 114195

GCD(345, 993) = 342585 / 114195

GCD(345, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 694

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

LCM(3, 694) = 2082

GCD(3, 694) = ( 3 x 694 ) / 2082

GCD(3, 694) = 2082 / 2082

GCD(3, 694) = 1

GCD of 345, 993, 99, 694 is 1

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• GCD of 957, 794, 20, 105
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1. What is the GCD of 345, 993, 99, 694?

GCD of 345, 993, 99, 694 is 1

2. Where do I get the detailed procedure to find GCD of 345, 993, 99, 694?

You can find a detailed procedure to find GCD of 345, 993, 99, 694 on our page.

3. How to find GCD of 345, 993, 99, 694 on a calculator?

You can find the GCD of 345, 993, 99, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.