GCD of 464, 204, 785 Calculator

Given Input numbers are 464, 204, 785

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

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 785

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

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 464, 204, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 204, 785 is 1.

Therefore, GCD of numbers 464, 204, 785 is 1

Given Input Data is 464, 204, 785

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

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 785 is 5 x 157

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(464, 204) = 23664

GCD(464, 204) = ( 464 x 204 ) / 23664

GCD(464, 204) = 94656 / 23664

GCD(464, 204) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 785

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

LCM(4, 785) = 3140

GCD(4, 785) = ( 4 x 785 ) / 3140

GCD(4, 785) = 3140 / 3140

GCD(4, 785) = 1

GCD of 464, 204, 785 is 1

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1. What is the GCD of 464, 204, 785?

GCD of 464, 204, 785 is 1

2. Where do I get the detailed procedure to find GCD of 464, 204, 785?

You can find a detailed procedure to find GCD of 464, 204, 785 on our page.

3. How to find GCD of 464, 204, 785 on a calculator?

You can find the GCD of 464, 204, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.