GCD of 713, 474, 894, 360 Calculator

Given Input numbers are 713, 474, 894, 360

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 713, 474, 894, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 474, 894, 360 is 1.

Therefore, GCD of numbers 713, 474, 894, 360 is 1

Given Input Data is 713, 474, 894, 360

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(713, 474) = 337962

GCD(713, 474) = ( 713 x 474 ) / 337962

GCD(713, 474) = 337962 / 337962

GCD(713, 474) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 713, 474, 894, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 855, 892, 397
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• GCD of 794, 494, 470, 699

1. What is the GCD of 713, 474, 894, 360?

GCD of 713, 474, 894, 360 is 1

2. Where do I get the detailed procedure to find GCD of 713, 474, 894, 360?

You can find a detailed procedure to find GCD of 713, 474, 894, 360 on our page.

3. How to find GCD of 713, 474, 894, 360 on a calculator?

You can find the GCD of 713, 474, 894, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.