GCD of 459, 738, 21, 985 Calculator

Given Input numbers are 459, 738, 21, 985

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 459, 738, 21, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 738, 21, 985 is 1.

Therefore, GCD of numbers 459, 738, 21, 985 is 1

Given Input Data is 459, 738, 21, 985

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 21 is 3 x 7

Prime Factorization of 985 is 5 x 197

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(459, 738) = 37638

GCD(459, 738) = ( 459 x 738 ) / 37638

GCD(459, 738) = 338742 / 37638

GCD(459, 738) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 21

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

LCM(9, 21) = 63

GCD(9, 21) = ( 9 x 21 ) / 63

GCD(9, 21) = 189 / 63

GCD(9, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 985

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

LCM(3, 985) = 2955

GCD(3, 985) = ( 3 x 985 ) / 2955

GCD(3, 985) = 2955 / 2955

GCD(3, 985) = 1

GCD of 459, 738, 21, 985 is 1

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1. What is the GCD of 459, 738, 21, 985?

GCD of 459, 738, 21, 985 is 1

2. Where do I get the detailed procedure to find GCD of 459, 738, 21, 985?

You can find a detailed procedure to find GCD of 459, 738, 21, 985 on our page.

3. How to find GCD of 459, 738, 21, 985 on a calculator?

You can find the GCD of 459, 738, 21, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.