GCD of 726, 184, 16, 119 Calculator

Given Input numbers are 726, 184, 16, 119

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 726, 184, 16, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 184, 16, 119 is 1.

Therefore, GCD of numbers 726, 184, 16, 119 is 1

Given Input Data is 726, 184, 16, 119

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 184 is 2 x 2 x 2 x 23

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

Prime Factorization of 119 is 7 x 17

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(726, 184) = 66792

GCD(726, 184) = ( 726 x 184 ) / 66792

GCD(726, 184) = 133584 / 66792

GCD(726, 184) = 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 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

GCD of 726, 184, 16, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 918, 35, 637
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• GCD of 563, 444, 43, 655

1. What is the GCD of 726, 184, 16, 119?

GCD of 726, 184, 16, 119 is 1

2. Where do I get the detailed procedure to find GCD of 726, 184, 16, 119?

You can find a detailed procedure to find GCD of 726, 184, 16, 119 on our page.

3. How to find GCD of 726, 184, 16, 119 on a calculator?

You can find the GCD of 726, 184, 16, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.