GCD of 785, 512, 421 Calculator

Given Input numbers are 785, 512, 421

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 785, 512, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 512, 421 is 1.

Therefore, GCD of numbers 785, 512, 421 is 1

Given Input Data is 785, 512, 421

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 421 is 421

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(785, 512) = 401920

GCD(785, 512) = ( 785 x 512 ) / 401920

GCD(785, 512) = 401920 / 401920

GCD(785, 512) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 785, 512, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 574, 673
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1. What is the GCD of 785, 512, 421?

GCD of 785, 512, 421 is 1

2. Where do I get the detailed procedure to find GCD of 785, 512, 421?

You can find a detailed procedure to find GCD of 785, 512, 421 on our page.

3. How to find GCD of 785, 512, 421 on a calculator?

You can find the GCD of 785, 512, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.