GCD of 472, 720, 37, 108 Calculator

Given Input numbers are 472, 720, 37, 108

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

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 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 472, 720, 37, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 720, 37, 108 is 1.

Therefore, GCD of numbers 472, 720, 37, 108 is 1

Given Input Data is 472, 720, 37, 108

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

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

Prime Factorization of 37 is 37

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(472, 720) = 42480

GCD(472, 720) = ( 472 x 720 ) / 42480

GCD(472, 720) = 339840 / 42480

GCD(472, 720) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 37

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

LCM(8, 37) = 296

GCD(8, 37) = ( 8 x 37 ) / 296

GCD(8, 37) = 296 / 296

GCD(8, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 472, 720, 37, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 105, 71, 187
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• GCD of 616, 797, 82, 226

1. What is the GCD of 472, 720, 37, 108?

GCD of 472, 720, 37, 108 is 1

2. Where do I get the detailed procedure to find GCD of 472, 720, 37, 108?

You can find a detailed procedure to find GCD of 472, 720, 37, 108 on our page.

3. How to find GCD of 472, 720, 37, 108 on a calculator?

You can find the GCD of 472, 720, 37, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.