GCD of 724, 280, 609 Calculator

Given Input numbers are 724, 280, 609

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

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 724, 280, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 280, 609 is 1.

Therefore, GCD of numbers 724, 280, 609 is 1

Given Input Data is 724, 280, 609

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 609 is 3 x 7 x 29

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(724, 280) = 50680

GCD(724, 280) = ( 724 x 280 ) / 50680

GCD(724, 280) = 202720 / 50680

GCD(724, 280) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 609

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

LCM(4, 609) = 2436

GCD(4, 609) = ( 4 x 609 ) / 2436

GCD(4, 609) = 2436 / 2436

GCD(4, 609) = 1

GCD of 724, 280, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 404, 165
• GCD of 825, 168, 592
• GCD of 896, 175, 501
• GCD of 791, 969, 822
• GCD of 993, 614, 900

1. What is the GCD of 724, 280, 609?

GCD of 724, 280, 609 is 1

2. Where do I get the detailed procedure to find GCD of 724, 280, 609?

You can find a detailed procedure to find GCD of 724, 280, 609 on our page.

3. How to find GCD of 724, 280, 609 on a calculator?

You can find the GCD of 724, 280, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.