GCD of 106, 902, 889 Calculator

Given Input numbers are 106, 902, 889

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 889

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

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 106, 902, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 902, 889 is 1.

Therefore, GCD of numbers 106, 902, 889 is 1

Given Input Data is 106, 902, 889

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 889 is 7 x 127

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(106, 902) = 47806

GCD(106, 902) = ( 106 x 902 ) / 47806

GCD(106, 902) = 95612 / 47806

GCD(106, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 889

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

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

GCD(2, 889) = 1778 / 1778

GCD(2, 889) = 1

GCD of 106, 902, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 210, 414
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• GCD of 413, 103, 350

1. What is the GCD of 106, 902, 889?

GCD of 106, 902, 889 is 1

2. Where do I get the detailed procedure to find GCD of 106, 902, 889?

You can find a detailed procedure to find GCD of 106, 902, 889 on our page.

3. How to find GCD of 106, 902, 889 on a calculator?

You can find the GCD of 106, 902, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.