GCD of 458, 242, 65, 382 Calculator

Given Input numbers are 458, 242, 65, 382

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 458, 242, 65, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 242, 65, 382 is 1.

Therefore, GCD of numbers 458, 242, 65, 382 is 1

Given Input Data is 458, 242, 65, 382

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 65 is 5 x 13

Prime Factorization of 382 is 2 x 191

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(458, 242) = 55418

GCD(458, 242) = ( 458 x 242 ) / 55418

GCD(458, 242) = 110836 / 55418

GCD(458, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 458, 242, 65, 382 is 1

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• GCD of 314, 524, 13, 161
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1. What is the GCD of 458, 242, 65, 382?

GCD of 458, 242, 65, 382 is 1

2. Where do I get the detailed procedure to find GCD of 458, 242, 65, 382?

You can find a detailed procedure to find GCD of 458, 242, 65, 382 on our page.

3. How to find GCD of 458, 242, 65, 382 on a calculator?

You can find the GCD of 458, 242, 65, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.