GCD of 12, 731, 960, 718 Calculator

Given Input numbers are 12, 731, 960, 718

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 731

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

1, 17, 43, 731

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 12, 731, 960, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 731, 960, 718 is 1.

Therefore, GCD of numbers 12, 731, 960, 718 is 1

Given Input Data is 12, 731, 960, 718

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 731 is 17 x 43

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 718 is 2 x 359

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(12, 731) = 8772

GCD(12, 731) = ( 12 x 731 ) / 8772

GCD(12, 731) = 8772 / 8772

GCD(12, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 12, 731, 960, 718 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 278, 599, 487
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• GCD of 50, 447, 218, 510

1. What is the GCD of 12, 731, 960, 718?

GCD of 12, 731, 960, 718 is 1

2. Where do I get the detailed procedure to find GCD of 12, 731, 960, 718?

You can find a detailed procedure to find GCD of 12, 731, 960, 718 on our page.

3. How to find GCD of 12, 731, 960, 718 on a calculator?

You can find the GCD of 12, 731, 960, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.