GCD of 232, 509, 996, 827 Calculator

Given Input numbers are 232, 509, 996, 827

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 509

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

1, 509

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 232, 509, 996, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 509, 996, 827 is 1.

Therefore, GCD of numbers 232, 509, 996, 827 is 1

Given Input Data is 232, 509, 996, 827

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 509 is 509

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 827 is 827

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(232, 509) = 118088

GCD(232, 509) = ( 232 x 509 ) / 118088

GCD(232, 509) = 118088 / 118088

GCD(232, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 232, 509, 996, 827 is 1

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1. What is the GCD of 232, 509, 996, 827?

GCD of 232, 509, 996, 827 is 1

2. Where do I get the detailed procedure to find GCD of 232, 509, 996, 827?

You can find a detailed procedure to find GCD of 232, 509, 996, 827 on our page.

3. How to find GCD of 232, 509, 996, 827 on a calculator?

You can find the GCD of 232, 509, 996, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.