GCD of 693, 330, 462, 705 Calculator

Given Input numbers are 693, 330, 462, 705

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

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 693, 330, 462, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 330, 462, 705 is 3.

Therefore, GCD of numbers 693, 330, 462, 705 is 3

Given Input Data is 693, 330, 462, 705

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

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 705 is 3 x 5 x 47

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(693, 330) = 6930

GCD(693, 330) = ( 693 x 330 ) / 6930

GCD(693, 330) = 228690 / 6930

GCD(693, 330) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 462

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

LCM(33, 462) = 462

GCD(33, 462) = ( 33 x 462 ) / 462

GCD(33, 462) = 15246 / 462

GCD(33, 462) = 33

Step3:

Here we consider the GCD from the above i.e. 33 as first number and the next as 705

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

LCM(33, 705) = 7755

GCD(33, 705) = ( 33 x 705 ) / 7755

GCD(33, 705) = 23265 / 7755

GCD(33, 705) = 3

GCD of 693, 330, 462, 705 is 3

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1. What is the GCD of 693, 330, 462, 705?

GCD of 693, 330, 462, 705 is 3

2. Where do I get the detailed procedure to find GCD of 693, 330, 462, 705?

You can find a detailed procedure to find GCD of 693, 330, 462, 705 on our page.

3. How to find GCD of 693, 330, 462, 705 on a calculator?

You can find the GCD of 693, 330, 462, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.