GCD of 486, 420, 204, 693 Calculator

Given Input numbers are 486, 420, 204, 693

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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

Greatest Common Divisior

We found the divisors of 486, 420, 204, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 420, 204, 693 is 3.

Therefore, GCD of numbers 486, 420, 204, 693 is 3

Given Input Data is 486, 420, 204, 693

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 204 is 2 x 2 x 3 x 17

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(486, 420) = 34020

GCD(486, 420) = ( 486 x 420 ) / 34020

GCD(486, 420) = 204120 / 34020

GCD(486, 420) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 204

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

LCM(6, 204) = 204

GCD(6, 204) = ( 6 x 204 ) / 204

GCD(6, 204) = 1224 / 204

GCD(6, 204) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 693

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

LCM(6, 693) = 1386

GCD(6, 693) = ( 6 x 693 ) / 1386

GCD(6, 693) = 4158 / 1386

GCD(6, 693) = 3

GCD of 486, 420, 204, 693 is 3

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1. What is the GCD of 486, 420, 204, 693?

GCD of 486, 420, 204, 693 is 3

2. Where do I get the detailed procedure to find GCD of 486, 420, 204, 693?

You can find a detailed procedure to find GCD of 486, 420, 204, 693 on our page.

3. How to find GCD of 486, 420, 204, 693 on a calculator?

You can find the GCD of 486, 420, 204, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.