GCD of 189, 462, 702, 499 Calculator

Given Input numbers are 189, 462, 702, 499

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 189, 462, 702, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 462, 702, 499 is 1.

Therefore, GCD of numbers 189, 462, 702, 499 is 1

Given Input Data is 189, 462, 702, 499

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 499 is 499

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(189, 462) = 4158

GCD(189, 462) = ( 189 x 462 ) / 4158

GCD(189, 462) = 87318 / 4158

GCD(189, 462) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 702

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

LCM(21, 702) = 4914

GCD(21, 702) = ( 21 x 702 ) / 4914

GCD(21, 702) = 14742 / 4914

GCD(21, 702) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 499

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

LCM(3, 499) = 1497

GCD(3, 499) = ( 3 x 499 ) / 1497

GCD(3, 499) = 1497 / 1497

GCD(3, 499) = 1

GCD of 189, 462, 702, 499 is 1

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1. What is the GCD of 189, 462, 702, 499?

GCD of 189, 462, 702, 499 is 1

2. Where do I get the detailed procedure to find GCD of 189, 462, 702, 499?

You can find a detailed procedure to find GCD of 189, 462, 702, 499 on our page.

3. How to find GCD of 189, 462, 702, 499 on a calculator?

You can find the GCD of 189, 462, 702, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.