GCD of 633, 975, 460, 796 Calculator

Given Input numbers are 633, 975, 460, 796

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 633, 975, 460, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 633, 975, 460, 796 is 1.

Therefore, GCD of numbers 633, 975, 460, 796 is 1

Given Input Data is 633, 975, 460, 796

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

Prime Factorization of 633 is 3 x 211

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 796 is 2 x 2 x 199

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(633, 975) = 205725

GCD(633, 975) = ( 633 x 975 ) / 205725

GCD(633, 975) = 617175 / 205725

GCD(633, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 460

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

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

GCD(3, 460) = 1380 / 1380

GCD(3, 460) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 633, 975, 460, 796 is 1

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1. What is the GCD of 633, 975, 460, 796?

GCD of 633, 975, 460, 796 is 1

2. Where do I get the detailed procedure to find GCD of 633, 975, 460, 796?

You can find a detailed procedure to find GCD of 633, 975, 460, 796 on our page.

3. How to find GCD of 633, 975, 460, 796 on a calculator?

You can find the GCD of 633, 975, 460, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.