GCD of 919, 864, 19, 859 Calculator

Given Input numbers are 919, 864, 19, 859

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

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 919, 864, 19, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 864, 19, 859 is 1.

Therefore, GCD of numbers 919, 864, 19, 859 is 1

Given Input Data is 919, 864, 19, 859

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

Prime Factorization of 919 is 919

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 19 is 19

Prime Factorization of 859 is 859

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(919, 864) = 794016

GCD(919, 864) = ( 919 x 864 ) / 794016

GCD(919, 864) = 794016 / 794016

GCD(919, 864) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

GCD of 919, 864, 19, 859 is 1

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1. What is the GCD of 919, 864, 19, 859?

GCD of 919, 864, 19, 859 is 1

2. Where do I get the detailed procedure to find GCD of 919, 864, 19, 859?

You can find a detailed procedure to find GCD of 919, 864, 19, 859 on our page.

3. How to find GCD of 919, 864, 19, 859 on a calculator?

You can find the GCD of 919, 864, 19, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.