GCD of 436, 418, 16, 349 Calculator

Given Input numbers are 436, 418, 16, 349

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

Divisors of 436

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

1, 2, 4, 109, 218, 436

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 436, 418, 16, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 418, 16, 349 is 1.

Therefore, GCD of numbers 436, 418, 16, 349 is 1

Given Input Data is 436, 418, 16, 349

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 349 is 349

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(436, 418) = 91124

GCD(436, 418) = ( 436 x 418 ) / 91124

GCD(436, 418) = 182248 / 91124

GCD(436, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

GCD of 436, 418, 16, 349 is 1

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1. What is the GCD of 436, 418, 16, 349?

GCD of 436, 418, 16, 349 is 1

2. Where do I get the detailed procedure to find GCD of 436, 418, 16, 349?

You can find a detailed procedure to find GCD of 436, 418, 16, 349 on our page.

3. How to find GCD of 436, 418, 16, 349 on a calculator?

You can find the GCD of 436, 418, 16, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.