GCD of 30, 179, 470, 726 Calculator

Given Input numbers are 30, 179, 470, 726

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

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 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

Greatest Common Divisior

We found the divisors of 30, 179, 470, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 179, 470, 726 is 1.

Therefore, GCD of numbers 30, 179, 470, 726 is 1

Given Input Data is 30, 179, 470, 726

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 179 is 179

Prime Factorization of 470 is 2 x 5 x 47

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

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(30, 179) = 5370

GCD(30, 179) = ( 30 x 179 ) / 5370

GCD(30, 179) = 5370 / 5370

GCD(30, 179) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 30, 179, 470, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 336, 341, 987
• GCD of 72, 651, 863, 892
• GCD of 11, 865, 851, 159
• GCD of 37, 842, 603, 329
• GCD of 87, 880, 713, 307

1. What is the GCD of 30, 179, 470, 726?

GCD of 30, 179, 470, 726 is 1

2. Where do I get the detailed procedure to find GCD of 30, 179, 470, 726?

You can find a detailed procedure to find GCD of 30, 179, 470, 726 on our page.

3. How to find GCD of 30, 179, 470, 726 on a calculator?

You can find the GCD of 30, 179, 470, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.