GCD of 461, 224, 982 Calculator

Given Input numbers are 461, 224, 982

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 982

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

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 461, 224, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 224, 982 is 1.

Therefore, GCD of numbers 461, 224, 982 is 1

Given Input Data is 461, 224, 982

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

Prime Factorization of 461 is 461

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 982 is 2 x 491

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(461, 224) = 103264

GCD(461, 224) = ( 461 x 224 ) / 103264

GCD(461, 224) = 103264 / 103264

GCD(461, 224) = 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

GCD of 461, 224, 982 is 1

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1. What is the GCD of 461, 224, 982?

GCD of 461, 224, 982 is 1

2. Where do I get the detailed procedure to find GCD of 461, 224, 982?

You can find a detailed procedure to find GCD of 461, 224, 982 on our page.

3. How to find GCD of 461, 224, 982 on a calculator?

You can find the GCD of 461, 224, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.