GCD of 738, 327, 13, 870 Calculator

Given Input numbers are 738, 327, 13, 870

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 738, 327, 13, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 327, 13, 870 is 1.

Therefore, GCD of numbers 738, 327, 13, 870 is 1

Given Input Data is 738, 327, 13, 870

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 327 is 3 x 109

Prime Factorization of 13 is 13

Prime Factorization of 870 is 2 x 3 x 5 x 29

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(738, 327) = 80442

GCD(738, 327) = ( 738 x 327 ) / 80442

GCD(738, 327) = 241326 / 80442

GCD(738, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 738, 327, 13, 870 is 1

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• GCD of 485, 866, 79, 877
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1. What is the GCD of 738, 327, 13, 870?

GCD of 738, 327, 13, 870 is 1

2. Where do I get the detailed procedure to find GCD of 738, 327, 13, 870?

You can find a detailed procedure to find GCD of 738, 327, 13, 870 on our page.

3. How to find GCD of 738, 327, 13, 870 on a calculator?

You can find the GCD of 738, 327, 13, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.