GCD of 509, 758, 79, 924 Calculator

Given Input numbers are 509, 758, 79, 924

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 79

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

1, 79

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 509, 758, 79, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 758, 79, 924 is 1.

Therefore, GCD of numbers 509, 758, 79, 924 is 1

Given Input Data is 509, 758, 79, 924

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

Prime Factorization of 509 is 509

Prime Factorization of 758 is 2 x 379

Prime Factorization of 79 is 79

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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, 758) = 385822

GCD(509, 758) = ( 509 x 758 ) / 385822

GCD(509, 758) = 385822 / 385822

GCD(509, 758) = 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 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 509, 758, 79, 924 is 1

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• GCD of 794, 157, 55, 223
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1. What is the GCD of 509, 758, 79, 924?

GCD of 509, 758, 79, 924 is 1

2. Where do I get the detailed procedure to find GCD of 509, 758, 79, 924?

You can find a detailed procedure to find GCD of 509, 758, 79, 924 on our page.

3. How to find GCD of 509, 758, 79, 924 on a calculator?

You can find the GCD of 509, 758, 79, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.