GCD of 604, 854, 693, 218 Calculator

Given Input numbers are 604, 854, 693, 218

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

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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 604, 854, 693, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 854, 693, 218 is 1.

Therefore, GCD of numbers 604, 854, 693, 218 is 1

Given Input Data is 604, 854, 693, 218

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

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 218 is 2 x 109

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(604, 854) = 257908

GCD(604, 854) = ( 604 x 854 ) / 257908

GCD(604, 854) = 515816 / 257908

GCD(604, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 604, 854, 693, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 475, 643, 186
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• GCD of 352, 965, 147, 532

1. What is the GCD of 604, 854, 693, 218?

GCD of 604, 854, 693, 218 is 1

2. Where do I get the detailed procedure to find GCD of 604, 854, 693, 218?

You can find a detailed procedure to find GCD of 604, 854, 693, 218 on our page.

3. How to find GCD of 604, 854, 693, 218 on a calculator?

You can find the GCD of 604, 854, 693, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.