GCD of 766, 322, 37, 284 Calculator

Given Input numbers are 766, 322, 37, 284

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 322

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

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 766, 322, 37, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 322, 37, 284 is 1.

Therefore, GCD of numbers 766, 322, 37, 284 is 1

Given Input Data is 766, 322, 37, 284

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 37 is 37

Prime Factorization of 284 is 2 x 2 x 71

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, 322) = 123326

GCD(766, 322) = ( 766 x 322 ) / 123326

GCD(766, 322) = 246652 / 123326

GCD(766, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 766, 322, 37, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 322, 28, 986
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• GCD of 623, 417, 36, 450
• GCD of 958, 180, 13, 809
• GCD of 245, 146, 76, 860

1. What is the GCD of 766, 322, 37, 284?

GCD of 766, 322, 37, 284 is 1

2. Where do I get the detailed procedure to find GCD of 766, 322, 37, 284?

You can find a detailed procedure to find GCD of 766, 322, 37, 284 on our page.

3. How to find GCD of 766, 322, 37, 284 on a calculator?

You can find the GCD of 766, 322, 37, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.