GCD of 484, 321, 117, 113 Calculator

Given Input numbers are 484, 321, 117, 113

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 484, 321, 117, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 321, 117, 113 is 1.

Therefore, GCD of numbers 484, 321, 117, 113 is 1

Given Input Data is 484, 321, 117, 113

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 321 is 3 x 107

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 113 is 113

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(484, 321) = 155364

GCD(484, 321) = ( 484 x 321 ) / 155364

GCD(484, 321) = 155364 / 155364

GCD(484, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 484, 321, 117, 113 is 1

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• GCD of 499, 741, 827, 933
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1. What is the GCD of 484, 321, 117, 113?

GCD of 484, 321, 117, 113 is 1

2. Where do I get the detailed procedure to find GCD of 484, 321, 117, 113?

You can find a detailed procedure to find GCD of 484, 321, 117, 113 on our page.

3. How to find GCD of 484, 321, 117, 113 on a calculator?

You can find the GCD of 484, 321, 117, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.