GCD of 912, 280, 41, 897 Calculator

Given Input numbers are 912, 280, 41, 897

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 912, 280, 41, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 280, 41, 897 is 1.

Therefore, GCD of numbers 912, 280, 41, 897 is 1

Given Input Data is 912, 280, 41, 897

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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

Prime Factorization of 41 is 41

Prime Factorization of 897 is 3 x 13 x 23

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(912, 280) = 31920

GCD(912, 280) = ( 912 x 280 ) / 31920

GCD(912, 280) = 255360 / 31920

GCD(912, 280) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 41

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

LCM(8, 41) = 328

GCD(8, 41) = ( 8 x 41 ) / 328

GCD(8, 41) = 328 / 328

GCD(8, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 912, 280, 41, 897 is 1

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1. What is the GCD of 912, 280, 41, 897?

GCD of 912, 280, 41, 897 is 1

2. Where do I get the detailed procedure to find GCD of 912, 280, 41, 897?

You can find a detailed procedure to find GCD of 912, 280, 41, 897 on our page.

3. How to find GCD of 912, 280, 41, 897 on a calculator?

You can find the GCD of 912, 280, 41, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.