GCD of 280, 728, 37, 272 Calculator

Given Input numbers are 280, 728, 37, 272

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 37

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

1, 37

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 280, 728, 37, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 728, 37, 272 is 1.

Therefore, GCD of numbers 280, 728, 37, 272 is 1

Given Input Data is 280, 728, 37, 272

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 37 is 37

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(280, 728) = 3640

GCD(280, 728) = ( 280 x 728 ) / 3640

GCD(280, 728) = 203840 / 3640

GCD(280, 728) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 37

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

LCM(56, 37) = 2072

GCD(56, 37) = ( 56 x 37 ) / 2072

GCD(56, 37) = 2072 / 2072

GCD(56, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 280, 728, 37, 272 is 1

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• GCD of 313, 501, 91, 956
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1. What is the GCD of 280, 728, 37, 272?

GCD of 280, 728, 37, 272 is 1

2. Where do I get the detailed procedure to find GCD of 280, 728, 37, 272?

You can find a detailed procedure to find GCD of 280, 728, 37, 272 on our page.

3. How to find GCD of 280, 728, 37, 272 on a calculator?

You can find the GCD of 280, 728, 37, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.