GCD of 470, 436, 21, 346 Calculator

Given Input numbers are 470, 436, 21, 346

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 470, 436, 21, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 436, 21, 346 is 1.

Therefore, GCD of numbers 470, 436, 21, 346 is 1

Given Input Data is 470, 436, 21, 346

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 21 is 3 x 7

Prime Factorization of 346 is 2 x 173

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(470, 436) = 102460

GCD(470, 436) = ( 470 x 436 ) / 102460

GCD(470, 436) = 204920 / 102460

GCD(470, 436) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 470, 436, 21, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 167, 70, 197
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• GCD of 556, 628, 60, 154

1. What is the GCD of 470, 436, 21, 346?

GCD of 470, 436, 21, 346 is 1

2. Where do I get the detailed procedure to find GCD of 470, 436, 21, 346?

You can find a detailed procedure to find GCD of 470, 436, 21, 346 on our page.

3. How to find GCD of 470, 436, 21, 346 on a calculator?

You can find the GCD of 470, 436, 21, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.