GCD of 165, 906, 800, 895 Calculator

Given Input numbers are 165, 906, 800, 895

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 165, 906, 800, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 906, 800, 895 is 1.

Therefore, GCD of numbers 165, 906, 800, 895 is 1

Given Input Data is 165, 906, 800, 895

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 895 is 5 x 179

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(165, 906) = 49830

GCD(165, 906) = ( 165 x 906 ) / 49830

GCD(165, 906) = 149490 / 49830

GCD(165, 906) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 800

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

LCM(3, 800) = 2400

GCD(3, 800) = ( 3 x 800 ) / 2400

GCD(3, 800) = 2400 / 2400

GCD(3, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 895

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

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

GCD(1, 895) = 895 / 895

GCD(1, 895) = 1

GCD of 165, 906, 800, 895 is 1

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1. What is the GCD of 165, 906, 800, 895?

GCD of 165, 906, 800, 895 is 1

2. Where do I get the detailed procedure to find GCD of 165, 906, 800, 895?

You can find a detailed procedure to find GCD of 165, 906, 800, 895 on our page.

3. How to find GCD of 165, 906, 800, 895 on a calculator?

You can find the GCD of 165, 906, 800, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.