GCD of 46, 222, 646, 829 Calculator

Given Input numbers are 46, 222, 646, 829

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 46, 222, 646, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 222, 646, 829 is 1.

Therefore, GCD of numbers 46, 222, 646, 829 is 1

Given Input Data is 46, 222, 646, 829

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 829 is 829

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(46, 222) = 5106

GCD(46, 222) = ( 46 x 222 ) / 5106

GCD(46, 222) = 10212 / 5106

GCD(46, 222) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 46, 222, 646, 829 is 1

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1. What is the GCD of 46, 222, 646, 829?

GCD of 46, 222, 646, 829 is 1

2. Where do I get the detailed procedure to find GCD of 46, 222, 646, 829?

You can find a detailed procedure to find GCD of 46, 222, 646, 829 on our page.

3. How to find GCD of 46, 222, 646, 829 on a calculator?

You can find the GCD of 46, 222, 646, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.