GCD of 300, 819, 694, 700 Calculator

Given Input numbers are 300, 819, 694, 700

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 694

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

1, 2, 347, 694

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 300, 819, 694, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 819, 694, 700 is 1.

Therefore, GCD of numbers 300, 819, 694, 700 is 1

Given Input Data is 300, 819, 694, 700

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 694 is 2 x 347

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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(300, 819) = 81900

GCD(300, 819) = ( 300 x 819 ) / 81900

GCD(300, 819) = 245700 / 81900

GCD(300, 819) = 3

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 300, 819, 694, 700 is 1

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1. What is the GCD of 300, 819, 694, 700?

GCD of 300, 819, 694, 700 is 1

2. Where do I get the detailed procedure to find GCD of 300, 819, 694, 700?

You can find a detailed procedure to find GCD of 300, 819, 694, 700 on our page.

3. How to find GCD of 300, 819, 694, 700 on a calculator?

You can find the GCD of 300, 819, 694, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.