GCD of 109, 253, 16, 436 Calculator

Given Input numbers are 109, 253, 16, 436

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 436

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

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 109, 253, 16, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 253, 16, 436 is 1.

Therefore, GCD of numbers 109, 253, 16, 436 is 1

Given Input Data is 109, 253, 16, 436

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

Prime Factorization of 109 is 109

Prime Factorization of 253 is 11 x 23

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

Prime Factorization of 436 is 2 x 2 x 109

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(109, 253) = 27577

GCD(109, 253) = ( 109 x 253 ) / 27577

GCD(109, 253) = 27577 / 27577

GCD(109, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 109, 253, 16, 436 is 1

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1. What is the GCD of 109, 253, 16, 436?

GCD of 109, 253, 16, 436 is 1

2. Where do I get the detailed procedure to find GCD of 109, 253, 16, 436?

You can find a detailed procedure to find GCD of 109, 253, 16, 436 on our page.

3. How to find GCD of 109, 253, 16, 436 on a calculator?

You can find the GCD of 109, 253, 16, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.