GCD of 233, 756, 488, 921 Calculator

Given Input numbers are 233, 756, 488, 921

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

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 233, 756, 488, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 233, 756, 488, 921 is 1.

Therefore, GCD of numbers 233, 756, 488, 921 is 1

Given Input Data is 233, 756, 488, 921

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

Prime Factorization of 233 is 233

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 921 is 3 x 307

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(233, 756) = 176148

GCD(233, 756) = ( 233 x 756 ) / 176148

GCD(233, 756) = 176148 / 176148

GCD(233, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 233, 756, 488, 921 is 1

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1. What is the GCD of 233, 756, 488, 921?

GCD of 233, 756, 488, 921 is 1

2. Where do I get the detailed procedure to find GCD of 233, 756, 488, 921?

You can find a detailed procedure to find GCD of 233, 756, 488, 921 on our page.

3. How to find GCD of 233, 756, 488, 921 on a calculator?

You can find the GCD of 233, 756, 488, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.