GCD of 819, 975, 16, 860 Calculator

Given Input numbers are 819, 975, 16, 860

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 819, 975, 16, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 975, 16, 860 is 1.

Therefore, GCD of numbers 819, 975, 16, 860 is 1

Given Input Data is 819, 975, 16, 860

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 860 is 2 x 2 x 5 x 43

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(819, 975) = 20475

GCD(819, 975) = ( 819 x 975 ) / 20475

GCD(819, 975) = 798525 / 20475

GCD(819, 975) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 16

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

LCM(39, 16) = 624

GCD(39, 16) = ( 39 x 16 ) / 624

GCD(39, 16) = 624 / 624

GCD(39, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

GCD of 819, 975, 16, 860 is 1

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1. What is the GCD of 819, 975, 16, 860?

GCD of 819, 975, 16, 860 is 1

2. Where do I get the detailed procedure to find GCD of 819, 975, 16, 860?

You can find a detailed procedure to find GCD of 819, 975, 16, 860 on our page.

3. How to find GCD of 819, 975, 16, 860 on a calculator?

You can find the GCD of 819, 975, 16, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.