GCD of 984, 363, 785, 719 Calculator

Given Input numbers are 984, 363, 785, 719

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 984, 363, 785, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 363, 785, 719 is 1.

Therefore, GCD of numbers 984, 363, 785, 719 is 1

Given Input Data is 984, 363, 785, 719

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 785 is 5 x 157

Prime Factorization of 719 is 719

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(984, 363) = 119064

GCD(984, 363) = ( 984 x 363 ) / 119064

GCD(984, 363) = 357192 / 119064

GCD(984, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 785

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

LCM(3, 785) = 2355

GCD(3, 785) = ( 3 x 785 ) / 2355

GCD(3, 785) = 2355 / 2355

GCD(3, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 719

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

LCM(1, 719) = 719

GCD(1, 719) = ( 1 x 719 ) / 719

GCD(1, 719) = 719 / 719

GCD(1, 719) = 1

GCD of 984, 363, 785, 719 is 1

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• GCD of 315, 571, 978, 466
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1. What is the GCD of 984, 363, 785, 719?

GCD of 984, 363, 785, 719 is 1

2. Where do I get the detailed procedure to find GCD of 984, 363, 785, 719?

You can find a detailed procedure to find GCD of 984, 363, 785, 719 on our page.

3. How to find GCD of 984, 363, 785, 719 on a calculator?

You can find the GCD of 984, 363, 785, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.