GCD of 169, 279, 16, 268 Calculator

Given Input numbers are 169, 279, 16, 268

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 169, 279, 16, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 279, 16, 268 is 1.

Therefore, GCD of numbers 169, 279, 16, 268 is 1

Given Input Data is 169, 279, 16, 268

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 279 is 3 x 3 x 31

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

Prime Factorization of 268 is 2 x 2 x 67

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(169, 279) = 47151

GCD(169, 279) = ( 169 x 279 ) / 47151

GCD(169, 279) = 47151 / 47151

GCD(169, 279) = 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 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 169, 279, 16, 268 is 1

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1. What is the GCD of 169, 279, 16, 268?

GCD of 169, 279, 16, 268 is 1

2. Where do I get the detailed procedure to find GCD of 169, 279, 16, 268?

You can find a detailed procedure to find GCD of 169, 279, 16, 268 on our page.

3. How to find GCD of 169, 279, 16, 268 on a calculator?

You can find the GCD of 169, 279, 16, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.