GCD of 769, 592, 894, 165 Calculator

Given Input numbers are 769, 592, 894, 165

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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

Greatest Common Divisior

We found the divisors of 769, 592, 894, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 592, 894, 165 is 1.

Therefore, GCD of numbers 769, 592, 894, 165 is 1

Given Input Data is 769, 592, 894, 165

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

Prime Factorization of 769 is 769

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 165 is 3 x 5 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(769, 592) = 455248

GCD(769, 592) = ( 769 x 592 ) / 455248

GCD(769, 592) = 455248 / 455248

GCD(769, 592) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 769, 592, 894, 165 is 1

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1. What is the GCD of 769, 592, 894, 165?

GCD of 769, 592, 894, 165 is 1

2. Where do I get the detailed procedure to find GCD of 769, 592, 894, 165?

You can find a detailed procedure to find GCD of 769, 592, 894, 165 on our page.

3. How to find GCD of 769, 592, 894, 165 on a calculator?

You can find the GCD of 769, 592, 894, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.