GCD of 774, 189, 263, 397 Calculator

Given Input numbers are 774, 189, 263, 397

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

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 774, 189, 263, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 189, 263, 397 is 1.

Therefore, GCD of numbers 774, 189, 263, 397 is 1

Given Input Data is 774, 189, 263, 397

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

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 263 is 263

Prime Factorization of 397 is 397

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(774, 189) = 16254

GCD(774, 189) = ( 774 x 189 ) / 16254

GCD(774, 189) = 146286 / 16254

GCD(774, 189) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 263

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

LCM(9, 263) = 2367

GCD(9, 263) = ( 9 x 263 ) / 2367

GCD(9, 263) = 2367 / 2367

GCD(9, 263) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 774, 189, 263, 397 is 1

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1. What is the GCD of 774, 189, 263, 397?

GCD of 774, 189, 263, 397 is 1

2. Where do I get the detailed procedure to find GCD of 774, 189, 263, 397?

You can find a detailed procedure to find GCD of 774, 189, 263, 397 on our page.

3. How to find GCD of 774, 189, 263, 397 on a calculator?

You can find the GCD of 774, 189, 263, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.