GCD of 243, 300, 715, 994 Calculator

Given Input numbers are 243, 300, 715, 994

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 243, 300, 715, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 300, 715, 994 is 1.

Therefore, GCD of numbers 243, 300, 715, 994 is 1

Given Input Data is 243, 300, 715, 994

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 994 is 2 x 7 x 71

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(243, 300) = 24300

GCD(243, 300) = ( 243 x 300 ) / 24300

GCD(243, 300) = 72900 / 24300

GCD(243, 300) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 715

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

LCM(3, 715) = 2145

GCD(3, 715) = ( 3 x 715 ) / 2145

GCD(3, 715) = 2145 / 2145

GCD(3, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 243, 300, 715, 994 is 1

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1. What is the GCD of 243, 300, 715, 994?

GCD of 243, 300, 715, 994 is 1

2. Where do I get the detailed procedure to find GCD of 243, 300, 715, 994?

You can find a detailed procedure to find GCD of 243, 300, 715, 994 on our page.

3. How to find GCD of 243, 300, 715, 994 on a calculator?

You can find the GCD of 243, 300, 715, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.