GCD of 726, 577, 180, 130 Calculator

Given Input numbers are 726, 577, 180, 130

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 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 726, 577, 180, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 577, 180, 130 is 1.

Therefore, GCD of numbers 726, 577, 180, 130 is 1

Given Input Data is 726, 577, 180, 130

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 577 is 577

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 130 is 2 x 5 x 13

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, 577) = 418902

GCD(726, 577) = ( 726 x 577 ) / 418902

GCD(726, 577) = 418902 / 418902

GCD(726, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 726, 577, 180, 130 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 468, 219, 505
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• GCD of 567, 796, 564, 444

1. What is the GCD of 726, 577, 180, 130?

GCD of 726, 577, 180, 130 is 1

2. Where do I get the detailed procedure to find GCD of 726, 577, 180, 130?

You can find a detailed procedure to find GCD of 726, 577, 180, 130 on our page.

3. How to find GCD of 726, 577, 180, 130 on a calculator?

You can find the GCD of 726, 577, 180, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.