GCD of 466, 986, 223, 785 Calculator

Given Input numbers are 466, 986, 223, 785

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

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 466, 986, 223, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 986, 223, 785 is 1.

Therefore, GCD of numbers 466, 986, 223, 785 is 1

Given Input Data is 466, 986, 223, 785

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 223 is 223

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(466, 986) = 229738

GCD(466, 986) = ( 466 x 986 ) / 229738

GCD(466, 986) = 459476 / 229738

GCD(466, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 223

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

LCM(2, 223) = 446

GCD(2, 223) = ( 2 x 223 ) / 446

GCD(2, 223) = 446 / 446

GCD(2, 223) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 466, 986, 223, 785 is 1

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1. What is the GCD of 466, 986, 223, 785?

GCD of 466, 986, 223, 785 is 1

2. Where do I get the detailed procedure to find GCD of 466, 986, 223, 785?

You can find a detailed procedure to find GCD of 466, 986, 223, 785 on our page.

3. How to find GCD of 466, 986, 223, 785 on a calculator?

You can find the GCD of 466, 986, 223, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.