GCD of 592, 781, 108, 280 Calculator

Given Input numbers are 592, 781, 108, 280

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

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

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

Greatest Common Divisior

We found the divisors of 592, 781, 108, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 781, 108, 280 is 1.

Therefore, GCD of numbers 592, 781, 108, 280 is 1

Given Input Data is 592, 781, 108, 280

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 781 is 11 x 71

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

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

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(592, 781) = 462352

GCD(592, 781) = ( 592 x 781 ) / 462352

GCD(592, 781) = 462352 / 462352

GCD(592, 781) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 592, 781, 108, 280 is 1

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1. What is the GCD of 592, 781, 108, 280?

GCD of 592, 781, 108, 280 is 1

2. Where do I get the detailed procedure to find GCD of 592, 781, 108, 280?

You can find a detailed procedure to find GCD of 592, 781, 108, 280 on our page.

3. How to find GCD of 592, 781, 108, 280 on a calculator?

You can find the GCD of 592, 781, 108, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.