GCD of 690, 322, 382, 218 Calculator

Given Input numbers are 690, 322, 382, 218

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 690, 322, 382, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 322, 382, 218 is 2.

Therefore, GCD of numbers 690, 322, 382, 218 is 2

Given Input Data is 690, 322, 382, 218

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 382 is 2 x 191

Prime Factorization of 218 is 2 x 109

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(690, 322) = 4830

GCD(690, 322) = ( 690 x 322 ) / 4830

GCD(690, 322) = 222180 / 4830

GCD(690, 322) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 382

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

LCM(46, 382) = 8786

GCD(46, 382) = ( 46 x 382 ) / 8786

GCD(46, 382) = 17572 / 8786

GCD(46, 382) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 218

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

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

GCD(2, 218) = 436 / 218

GCD(2, 218) = 2

GCD of 690, 322, 382, 218 is 2

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1. What is the GCD of 690, 322, 382, 218?

GCD of 690, 322, 382, 218 is 2

2. Where do I get the detailed procedure to find GCD of 690, 322, 382, 218?

You can find a detailed procedure to find GCD of 690, 322, 382, 218 on our page.

3. How to find GCD of 690, 322, 382, 218 on a calculator?

You can find the GCD of 690, 322, 382, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.