GCD of 458, 921, 14, 362 Calculator

Given Input numbers are 458, 921, 14, 362

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 458, 921, 14, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 921, 14, 362 is 1.

Therefore, GCD of numbers 458, 921, 14, 362 is 1

Given Input Data is 458, 921, 14, 362

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 921 is 3 x 307

Prime Factorization of 14 is 2 x 7

Prime Factorization of 362 is 2 x 181

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, 921) = 421818

GCD(458, 921) = ( 458 x 921 ) / 421818

GCD(458, 921) = 421818 / 421818

GCD(458, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 458, 921, 14, 362 is 1

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• GCD of 272, 345, 28, 242
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• GCD of 163, 385, 78, 337

1. What is the GCD of 458, 921, 14, 362?

GCD of 458, 921, 14, 362 is 1

2. Where do I get the detailed procedure to find GCD of 458, 921, 14, 362?

You can find a detailed procedure to find GCD of 458, 921, 14, 362 on our page.

3. How to find GCD of 458, 921, 14, 362 on a calculator?

You can find the GCD of 458, 921, 14, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.