GCD of 509, 744, 79, 732 Calculator

Given Input numbers are 509, 744, 79, 732

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 509, 744, 79, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 744, 79, 732 is 1.

Therefore, GCD of numbers 509, 744, 79, 732 is 1

Given Input Data is 509, 744, 79, 732

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

Prime Factorization of 509 is 509

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 79 is 79

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(509, 744) = 378696

GCD(509, 744) = ( 509 x 744 ) / 378696

GCD(509, 744) = 378696 / 378696

GCD(509, 744) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 509, 744, 79, 732 is 1

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• GCD of 401, 339, 29, 271
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1. What is the GCD of 509, 744, 79, 732?

GCD of 509, 744, 79, 732 is 1

2. Where do I get the detailed procedure to find GCD of 509, 744, 79, 732?

You can find a detailed procedure to find GCD of 509, 744, 79, 732 on our page.

3. How to find GCD of 509, 744, 79, 732 on a calculator?

You can find the GCD of 509, 744, 79, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.