GCD of 596, 765, 924, 497 Calculator

Given Input numbers are 596, 765, 924, 497

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 596, 765, 924, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 765, 924, 497 is 1.

Therefore, GCD of numbers 596, 765, 924, 497 is 1

Given Input Data is 596, 765, 924, 497

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 765 is 3 x 3 x 5 x 17

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

Prime Factorization of 497 is 7 x 71

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(596, 765) = 455940

GCD(596, 765) = ( 596 x 765 ) / 455940

GCD(596, 765) = 455940 / 455940

GCD(596, 765) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 596, 765, 924, 497 is 1

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1. What is the GCD of 596, 765, 924, 497?

GCD of 596, 765, 924, 497 is 1

2. Where do I get the detailed procedure to find GCD of 596, 765, 924, 497?

You can find a detailed procedure to find GCD of 596, 765, 924, 497 on our page.

3. How to find GCD of 596, 765, 924, 497 on a calculator?

You can find the GCD of 596, 765, 924, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.