GCD of 731, 120, 459, 779 Calculator

Given Input numbers are 731, 120, 459, 779

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 731, 120, 459, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 120, 459, 779 is 1.

Therefore, GCD of numbers 731, 120, 459, 779 is 1

Given Input Data is 731, 120, 459, 779

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 779 is 19 x 41

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(731, 120) = 87720

GCD(731, 120) = ( 731 x 120 ) / 87720

GCD(731, 120) = 87720 / 87720

GCD(731, 120) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 731, 120, 459, 779 is 1

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1. What is the GCD of 731, 120, 459, 779?

GCD of 731, 120, 459, 779 is 1

2. Where do I get the detailed procedure to find GCD of 731, 120, 459, 779?

You can find a detailed procedure to find GCD of 731, 120, 459, 779 on our page.

3. How to find GCD of 731, 120, 459, 779 on a calculator?

You can find the GCD of 731, 120, 459, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.