GCD of 744, 509, 352, 797 Calculator

Given Input numbers are 744, 509, 352, 797

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

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 509

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

1, 509

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Greatest Common Divisior

We found the divisors of 744, 509, 352, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 509, 352, 797 is 1.

Therefore, GCD of numbers 744, 509, 352, 797 is 1

Given Input Data is 744, 509, 352, 797

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

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

Prime Factorization of 509 is 509

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 797 is 797

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(744, 509) = 378696

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

GCD(744, 509) = 378696 / 378696

GCD(744, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 797

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

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

GCD(1, 797) = 797 / 797

GCD(1, 797) = 1

GCD of 744, 509, 352, 797 is 1

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1. What is the GCD of 744, 509, 352, 797?

GCD of 744, 509, 352, 797 is 1

2. Where do I get the detailed procedure to find GCD of 744, 509, 352, 797?

You can find a detailed procedure to find GCD of 744, 509, 352, 797 on our page.

3. How to find GCD of 744, 509, 352, 797 on a calculator?

You can find the GCD of 744, 509, 352, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.