GCD of 984, 810, 34, 669 Calculator

Given Input numbers are 984, 810, 34, 669

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 984, 810, 34, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 810, 34, 669 is 1.

Therefore, GCD of numbers 984, 810, 34, 669 is 1

Given Input Data is 984, 810, 34, 669

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 34 is 2 x 17

Prime Factorization of 669 is 3 x 223

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(984, 810) = 132840

GCD(984, 810) = ( 984 x 810 ) / 132840

GCD(984, 810) = 797040 / 132840

GCD(984, 810) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 34

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

LCM(6, 34) = 102

GCD(6, 34) = ( 6 x 34 ) / 102

GCD(6, 34) = 204 / 102

GCD(6, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 669

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

LCM(2, 669) = 1338

GCD(2, 669) = ( 2 x 669 ) / 1338

GCD(2, 669) = 1338 / 1338

GCD(2, 669) = 1

GCD of 984, 810, 34, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 512, 27, 925
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1. What is the GCD of 984, 810, 34, 669?

GCD of 984, 810, 34, 669 is 1

2. Where do I get the detailed procedure to find GCD of 984, 810, 34, 669?

You can find a detailed procedure to find GCD of 984, 810, 34, 669 on our page.

3. How to find GCD of 984, 810, 34, 669 on a calculator?

You can find the GCD of 984, 810, 34, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.