GCD of 459, 437, 54, 686 Calculator

Given Input numbers are 459, 437, 54, 686

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 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 459, 437, 54, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 437, 54, 686 is 1.

Therefore, GCD of numbers 459, 437, 54, 686 is 1

Given Input Data is 459, 437, 54, 686

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 437 is 19 x 23

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 686 is 2 x 7 x 7 x 7

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, 437) = 200583

GCD(459, 437) = ( 459 x 437 ) / 200583

GCD(459, 437) = 200583 / 200583

GCD(459, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 459, 437, 54, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 955, 10, 468
• GCD of 833, 108, 22, 396
• GCD of 121, 170, 33, 400
• GCD of 112, 845, 45, 258
• GCD of 685, 170, 25, 922

1. What is the GCD of 459, 437, 54, 686?

GCD of 459, 437, 54, 686 is 1

2. Where do I get the detailed procedure to find GCD of 459, 437, 54, 686?

You can find a detailed procedure to find GCD of 459, 437, 54, 686 on our page.

3. How to find GCD of 459, 437, 54, 686 on a calculator?

You can find the GCD of 459, 437, 54, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.