GCD of 523, 136, 805, 297 Calculator

Given Input numbers are 523, 136, 805, 297

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 523, 136, 805, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 136, 805, 297 is 1.

Therefore, GCD of numbers 523, 136, 805, 297 is 1

Given Input Data is 523, 136, 805, 297

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

Prime Factorization of 523 is 523

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 297 is 3 x 3 x 3 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(523, 136) = 71128

GCD(523, 136) = ( 523 x 136 ) / 71128

GCD(523, 136) = 71128 / 71128

GCD(523, 136) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 523, 136, 805, 297 is 1

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1. What is the GCD of 523, 136, 805, 297?

GCD of 523, 136, 805, 297 is 1

2. Where do I get the detailed procedure to find GCD of 523, 136, 805, 297?

You can find a detailed procedure to find GCD of 523, 136, 805, 297 on our page.

3. How to find GCD of 523, 136, 805, 297 on a calculator?

You can find the GCD of 523, 136, 805, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.