GCD of 459, 642, 724, 603 Calculator

Given Input numbers are 459, 642, 724, 603

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 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Greatest Common Divisior

We found the divisors of 459, 642, 724, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 642, 724, 603 is 1.

Therefore, GCD of numbers 459, 642, 724, 603 is 1

Given Input Data is 459, 642, 724, 603

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 642 is 2 x 3 x 107

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 603 is 3 x 3 x 67

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, 642) = 98226

GCD(459, 642) = ( 459 x 642 ) / 98226

GCD(459, 642) = 294678 / 98226

GCD(459, 642) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 724

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

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

GCD(3, 724) = 2172 / 2172

GCD(3, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 603

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

LCM(1, 603) = 603

GCD(1, 603) = ( 1 x 603 ) / 603

GCD(1, 603) = 603 / 603

GCD(1, 603) = 1

GCD of 459, 642, 724, 603 is 1

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1. What is the GCD of 459, 642, 724, 603?

GCD of 459, 642, 724, 603 is 1

2. Where do I get the detailed procedure to find GCD of 459, 642, 724, 603?

You can find a detailed procedure to find GCD of 459, 642, 724, 603 on our page.

3. How to find GCD of 459, 642, 724, 603 on a calculator?

You can find the GCD of 459, 642, 724, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.