GCD of 788, 204, 769, 727 Calculator

Given Input numbers are 788, 204, 769, 727

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

Divisors of 788

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

1, 2, 4, 197, 394, 788

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 788, 204, 769, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 204, 769, 727 is 1.

Therefore, GCD of numbers 788, 204, 769, 727 is 1

Given Input Data is 788, 204, 769, 727

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 769 is 769

Prime Factorization of 727 is 727

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(788, 204) = 40188

GCD(788, 204) = ( 788 x 204 ) / 40188

GCD(788, 204) = 160752 / 40188

GCD(788, 204) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 769

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

LCM(4, 769) = 3076

GCD(4, 769) = ( 4 x 769 ) / 3076

GCD(4, 769) = 3076 / 3076

GCD(4, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

GCD of 788, 204, 769, 727 is 1

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1. What is the GCD of 788, 204, 769, 727?

GCD of 788, 204, 769, 727 is 1

2. Where do I get the detailed procedure to find GCD of 788, 204, 769, 727?

You can find a detailed procedure to find GCD of 788, 204, 769, 727 on our page.

3. How to find GCD of 788, 204, 769, 727 on a calculator?

You can find the GCD of 788, 204, 769, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.