GCD of 561, 788, 75, 774 Calculator

Given Input numbers are 561, 788, 75, 774

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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

Greatest Common Divisior

We found the divisors of 561, 788, 75, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 788, 75, 774 is 1.

Therefore, GCD of numbers 561, 788, 75, 774 is 1

Given Input Data is 561, 788, 75, 774

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(561, 788) = 442068

GCD(561, 788) = ( 561 x 788 ) / 442068

GCD(561, 788) = 442068 / 442068

GCD(561, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 561, 788, 75, 774 is 1

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1. What is the GCD of 561, 788, 75, 774?

GCD of 561, 788, 75, 774 is 1

2. Where do I get the detailed procedure to find GCD of 561, 788, 75, 774?

You can find a detailed procedure to find GCD of 561, 788, 75, 774 on our page.

3. How to find GCD of 561, 788, 75, 774 on a calculator?

You can find the GCD of 561, 788, 75, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.