GCD of 372, 303, 698, 999 Calculator

Given Input numbers are 372, 303, 698, 999

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 372, 303, 698, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 303, 698, 999 is 1.

Therefore, GCD of numbers 372, 303, 698, 999 is 1

Given Input Data is 372, 303, 698, 999

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 303 is 3 x 101

Prime Factorization of 698 is 2 x 349

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(372, 303) = 37572

GCD(372, 303) = ( 372 x 303 ) / 37572

GCD(372, 303) = 112716 / 37572

GCD(372, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 698

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

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

GCD(3, 698) = 2094 / 2094

GCD(3, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 372, 303, 698, 999 is 1

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• GCD of 333, 693, 596, 600
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1. What is the GCD of 372, 303, 698, 999?

GCD of 372, 303, 698, 999 is 1

2. Where do I get the detailed procedure to find GCD of 372, 303, 698, 999?

You can find a detailed procedure to find GCD of 372, 303, 698, 999 on our page.

3. How to find GCD of 372, 303, 698, 999 on a calculator?

You can find the GCD of 372, 303, 698, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.