GCD of 560, 304, 190, 773 Calculator

Given Input numbers are 560, 304, 190, 773

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

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Greatest Common Divisior

We found the divisors of 560, 304, 190, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 304, 190, 773 is 1.

Therefore, GCD of numbers 560, 304, 190, 773 is 1

Given Input Data is 560, 304, 190, 773

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

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 773 is 773

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(560, 304) = 10640

GCD(560, 304) = ( 560 x 304 ) / 10640

GCD(560, 304) = 170240 / 10640

GCD(560, 304) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 190

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

LCM(16, 190) = 1520

GCD(16, 190) = ( 16 x 190 ) / 1520

GCD(16, 190) = 3040 / 1520

GCD(16, 190) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 773

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

LCM(2, 773) = 1546

GCD(2, 773) = ( 2 x 773 ) / 1546

GCD(2, 773) = 1546 / 1546

GCD(2, 773) = 1

GCD of 560, 304, 190, 773 is 1

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1. What is the GCD of 560, 304, 190, 773?

GCD of 560, 304, 190, 773 is 1

2. Where do I get the detailed procedure to find GCD of 560, 304, 190, 773?

You can find a detailed procedure to find GCD of 560, 304, 190, 773 on our page.

3. How to find GCD of 560, 304, 190, 773 on a calculator?

You can find the GCD of 560, 304, 190, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.