GCD of 459, 737, 462, 989 Calculator

Given Input numbers are 459, 737, 462, 989

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 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

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 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 459, 737, 462, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 737, 462, 989 is 1.

Therefore, GCD of numbers 459, 737, 462, 989 is 1

Given Input Data is 459, 737, 462, 989

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 737 is 11 x 67

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

Prime Factorization of 989 is 23 x 43

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, 737) = 338283

GCD(459, 737) = ( 459 x 737 ) / 338283

GCD(459, 737) = 338283 / 338283

GCD(459, 737) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 459, 737, 462, 989 is 1

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1. What is the GCD of 459, 737, 462, 989?

GCD of 459, 737, 462, 989 is 1

2. Where do I get the detailed procedure to find GCD of 459, 737, 462, 989?

You can find a detailed procedure to find GCD of 459, 737, 462, 989 on our page.

3. How to find GCD of 459, 737, 462, 989 on a calculator?

You can find the GCD of 459, 737, 462, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.