GCD of 37, 560, 908, 990 Calculator

Given Input numbers are 37, 560, 908, 990

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

Divisors of 37

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

1, 37

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 37, 560, 908, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 560, 908, 990 is 1.

Therefore, GCD of numbers 37, 560, 908, 990 is 1

Given Input Data is 37, 560, 908, 990

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

Prime Factorization of 37 is 37

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 990 is 2 x 3 x 3 x 5 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(37, 560) = 20720

GCD(37, 560) = ( 37 x 560 ) / 20720

GCD(37, 560) = 20720 / 20720

GCD(37, 560) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 37, 560, 908, 990 is 1

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1. What is the GCD of 37, 560, 908, 990?

GCD of 37, 560, 908, 990 is 1

2. Where do I get the detailed procedure to find GCD of 37, 560, 908, 990?

You can find a detailed procedure to find GCD of 37, 560, 908, 990 on our page.

3. How to find GCD of 37, 560, 908, 990 on a calculator?

You can find the GCD of 37, 560, 908, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.