GCD of 720, 471, 178, 217 Calculator

Given Input numbers are 720, 471, 178, 217

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 720, 471, 178, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 471, 178, 217 is 1.

Therefore, GCD of numbers 720, 471, 178, 217 is 1

Given Input Data is 720, 471, 178, 217

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 471 is 3 x 157

Prime Factorization of 178 is 2 x 89

Prime Factorization of 217 is 7 x 31

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(720, 471) = 113040

GCD(720, 471) = ( 720 x 471 ) / 113040

GCD(720, 471) = 339120 / 113040

GCD(720, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 178

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

LCM(3, 178) = 534

GCD(3, 178) = ( 3 x 178 ) / 534

GCD(3, 178) = 534 / 534

GCD(3, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 720, 471, 178, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 749, 983, 659
• GCD of 629, 622, 717, 483
• GCD of 464, 721, 767, 972
• GCD of 576, 247, 421, 536
• GCD of 752, 292, 809, 179

1. What is the GCD of 720, 471, 178, 217?

GCD of 720, 471, 178, 217 is 1

2. Where do I get the detailed procedure to find GCD of 720, 471, 178, 217?

You can find a detailed procedure to find GCD of 720, 471, 178, 217 on our page.

3. How to find GCD of 720, 471, 178, 217 on a calculator?

You can find the GCD of 720, 471, 178, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.