GCD of 280, 774, 572, 889 Calculator

Given Input numbers are 280, 774, 572, 889

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 280, 774, 572, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 774, 572, 889 is 1.

Therefore, GCD of numbers 280, 774, 572, 889 is 1

Given Input Data is 280, 774, 572, 889

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 774 is 2 x 3 x 3 x 43

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 889 is 7 x 127

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, 774) = 108360

GCD(280, 774) = ( 280 x 774 ) / 108360

GCD(280, 774) = 216720 / 108360

GCD(280, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 889

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

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

GCD(2, 889) = 1778 / 1778

GCD(2, 889) = 1

GCD of 280, 774, 572, 889 is 1

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1. What is the GCD of 280, 774, 572, 889?

GCD of 280, 774, 572, 889 is 1

2. Where do I get the detailed procedure to find GCD of 280, 774, 572, 889?

You can find a detailed procedure to find GCD of 280, 774, 572, 889 on our page.

3. How to find GCD of 280, 774, 572, 889 on a calculator?

You can find the GCD of 280, 774, 572, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.