GCD of 766, 243, 861, 322 Calculator

Given Input numbers are 766, 243, 861, 322

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 766, 243, 861, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 243, 861, 322 is 1.

Therefore, GCD of numbers 766, 243, 861, 322 is 1

Given Input Data is 766, 243, 861, 322

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 322 is 2 x 7 x 23

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(766, 243) = 186138

GCD(766, 243) = ( 766 x 243 ) / 186138

GCD(766, 243) = 186138 / 186138

GCD(766, 243) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 766, 243, 861, 322 is 1

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1. What is the GCD of 766, 243, 861, 322?

GCD of 766, 243, 861, 322 is 1

2. Where do I get the detailed procedure to find GCD of 766, 243, 861, 322?

You can find a detailed procedure to find GCD of 766, 243, 861, 322 on our page.

3. How to find GCD of 766, 243, 861, 322 on a calculator?

You can find the GCD of 766, 243, 861, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.