GCD of 109, 889, 782, 444 Calculator

Given Input numbers are 109, 889, 782, 444

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 109, 889, 782, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 889, 782, 444 is 1.

Therefore, GCD of numbers 109, 889, 782, 444 is 1

Given Input Data is 109, 889, 782, 444

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

Prime Factorization of 109 is 109

Prime Factorization of 889 is 7 x 127

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(109, 889) = 96901

GCD(109, 889) = ( 109 x 889 ) / 96901

GCD(109, 889) = 96901 / 96901

GCD(109, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 109, 889, 782, 444 is 1

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1. What is the GCD of 109, 889, 782, 444?

GCD of 109, 889, 782, 444 is 1

2. Where do I get the detailed procedure to find GCD of 109, 889, 782, 444?

You can find a detailed procedure to find GCD of 109, 889, 782, 444 on our page.

3. How to find GCD of 109, 889, 782, 444 on a calculator?

You can find the GCD of 109, 889, 782, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.