GCD of 894, 165, 433, 770 Calculator

Given Input numbers are 894, 165, 433, 770

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

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 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 894, 165, 433, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 165, 433, 770 is 1.

Therefore, GCD of numbers 894, 165, 433, 770 is 1

Given Input Data is 894, 165, 433, 770

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 433 is 433

Prime Factorization of 770 is 2 x 5 x 7 x 11

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(894, 165) = 49170

GCD(894, 165) = ( 894 x 165 ) / 49170

GCD(894, 165) = 147510 / 49170

GCD(894, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 433

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

LCM(3, 433) = 1299

GCD(3, 433) = ( 3 x 433 ) / 1299

GCD(3, 433) = 1299 / 1299

GCD(3, 433) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 894, 165, 433, 770 is 1

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1. What is the GCD of 894, 165, 433, 770?

GCD of 894, 165, 433, 770 is 1

2. Where do I get the detailed procedure to find GCD of 894, 165, 433, 770?

You can find a detailed procedure to find GCD of 894, 165, 433, 770 on our page.

3. How to find GCD of 894, 165, 433, 770 on a calculator?

You can find the GCD of 894, 165, 433, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.