GCD of 721, 609, 350, 492 Calculator

Given Input numbers are 721, 609, 350, 492

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 609

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

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 721, 609, 350, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 609, 350, 492 is 1.

Therefore, GCD of numbers 721, 609, 350, 492 is 1

Given Input Data is 721, 609, 350, 492

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(721, 609) = 62727

GCD(721, 609) = ( 721 x 609 ) / 62727

GCD(721, 609) = 439089 / 62727

GCD(721, 609) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 350

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

LCM(7, 350) = 350

GCD(7, 350) = ( 7 x 350 ) / 350

GCD(7, 350) = 2450 / 350

GCD(7, 350) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 492

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

LCM(7, 492) = 3444

GCD(7, 492) = ( 7 x 492 ) / 3444

GCD(7, 492) = 3444 / 3444

GCD(7, 492) = 1

GCD of 721, 609, 350, 492 is 1

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1. What is the GCD of 721, 609, 350, 492?

GCD of 721, 609, 350, 492 is 1

2. Where do I get the detailed procedure to find GCD of 721, 609, 350, 492?

You can find a detailed procedure to find GCD of 721, 609, 350, 492 on our page.

3. How to find GCD of 721, 609, 350, 492 on a calculator?

You can find the GCD of 721, 609, 350, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.