GCD of 180, 360, 480, 731 Calculator

Given Input numbers are 180, 360, 480, 731

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

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 180, 360, 480, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 360, 480, 731 is 1.

Therefore, GCD of numbers 180, 360, 480, 731 is 1

Given Input Data is 180, 360, 480, 731

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

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 731 is 17 x 43

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(180, 360) = 360

GCD(180, 360) = ( 180 x 360 ) / 360

GCD(180, 360) = 64800 / 360

GCD(180, 360) = 180

Step2:

Here we consider the GCD from the above i.e. 180 as first number and the next as 480

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

LCM(180, 480) = 1440

GCD(180, 480) = ( 180 x 480 ) / 1440

GCD(180, 480) = 86400 / 1440

GCD(180, 480) = 60

Step3:

Here we consider the GCD from the above i.e. 60 as first number and the next as 731

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

LCM(60, 731) = 43860

GCD(60, 731) = ( 60 x 731 ) / 43860

GCD(60, 731) = 43860 / 43860

GCD(60, 731) = 1

GCD of 180, 360, 480, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 661, 671, 669
• GCD of 365, 398, 218, 782
• GCD of 323, 945, 824, 662
• GCD of 383, 481, 456, 522
• GCD of 433, 938, 880, 829

1. What is the GCD of 180, 360, 480, 731?

GCD of 180, 360, 480, 731 is 1

2. Where do I get the detailed procedure to find GCD of 180, 360, 480, 731?

You can find a detailed procedure to find GCD of 180, 360, 480, 731 on our page.

3. How to find GCD of 180, 360, 480, 731 on a calculator?

You can find the GCD of 180, 360, 480, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.