GCD of 41, 768, 464, 789 Calculator

Given Input numbers are 41, 768, 464, 789

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 41, 768, 464, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 768, 464, 789 is 1.

Therefore, GCD of numbers 41, 768, 464, 789 is 1

Given Input Data is 41, 768, 464, 789

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

Prime Factorization of 41 is 41

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 789 is 3 x 263

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(41, 768) = 31488

GCD(41, 768) = ( 41 x 768 ) / 31488

GCD(41, 768) = 31488 / 31488

GCD(41, 768) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 41, 768, 464, 789 is 1

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• GCD of 39, 369, 629, 301
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1. What is the GCD of 41, 768, 464, 789?

GCD of 41, 768, 464, 789 is 1

2. Where do I get the detailed procedure to find GCD of 41, 768, 464, 789?

You can find a detailed procedure to find GCD of 41, 768, 464, 789 on our page.

3. How to find GCD of 41, 768, 464, 789 on a calculator?

You can find the GCD of 41, 768, 464, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.