GCD of 433, 460, 982, 112 Calculator

Given Input numbers are 433, 460, 982, 112

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

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

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 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 433, 460, 982, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 433, 460, 982, 112 is 1.

Therefore, GCD of numbers 433, 460, 982, 112 is 1

Given Input Data is 433, 460, 982, 112

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

Prime Factorization of 433 is 433

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(433, 460) = 199180

GCD(433, 460) = ( 433 x 460 ) / 199180

GCD(433, 460) = 199180 / 199180

GCD(433, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 433, 460, 982, 112 is 1

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1. What is the GCD of 433, 460, 982, 112?

GCD of 433, 460, 982, 112 is 1

2. Where do I get the detailed procedure to find GCD of 433, 460, 982, 112?

You can find a detailed procedure to find GCD of 433, 460, 982, 112 on our page.

3. How to find GCD of 433, 460, 982, 112 on a calculator?

You can find the GCD of 433, 460, 982, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.