GCD of 460, 251, 46, 996 Calculator

Given Input numbers are 460, 251, 46, 996

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

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 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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

Greatest Common Divisior

We found the divisors of 460, 251, 46, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 251, 46, 996 is 1.

Therefore, GCD of numbers 460, 251, 46, 996 is 1

Given Input Data is 460, 251, 46, 996

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

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

Prime Factorization of 251 is 251

Prime Factorization of 46 is 2 x 23

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

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(460, 251) = 115460

GCD(460, 251) = ( 460 x 251 ) / 115460

GCD(460, 251) = 115460 / 115460

GCD(460, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

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

GCD of 460, 251, 46, 996 is 1

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1. What is the GCD of 460, 251, 46, 996?

GCD of 460, 251, 46, 996 is 1

2. Where do I get the detailed procedure to find GCD of 460, 251, 46, 996?

You can find a detailed procedure to find GCD of 460, 251, 46, 996 on our page.

3. How to find GCD of 460, 251, 46, 996 on a calculator?

You can find the GCD of 460, 251, 46, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.