GCD of 150, 806, 85, 846 Calculator

Given Input numbers are 150, 806, 85, 846

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 150, 806, 85, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 806, 85, 846 is 1.

Therefore, GCD of numbers 150, 806, 85, 846 is 1

Given Input Data is 150, 806, 85, 846

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 85 is 5 x 17

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(150, 806) = 60450

GCD(150, 806) = ( 150 x 806 ) / 60450

GCD(150, 806) = 120900 / 60450

GCD(150, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 150, 806, 85, 846 is 1

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1. What is the GCD of 150, 806, 85, 846?

GCD of 150, 806, 85, 846 is 1

2. Where do I get the detailed procedure to find GCD of 150, 806, 85, 846?

You can find a detailed procedure to find GCD of 150, 806, 85, 846 on our page.

3. How to find GCD of 150, 806, 85, 846 on a calculator?

You can find the GCD of 150, 806, 85, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.