GCD of 458, 144, 13, 921 Calculator

Given Input numbers are 458, 144, 13, 921

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 921

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

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 458, 144, 13, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 144, 13, 921 is 1.

Therefore, GCD of numbers 458, 144, 13, 921 is 1

Given Input Data is 458, 144, 13, 921

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 13 is 13

Prime Factorization of 921 is 3 x 307

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, 144) = 32976

GCD(458, 144) = ( 458 x 144 ) / 32976

GCD(458, 144) = 65952 / 32976

GCD(458, 144) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 458, 144, 13, 921 is 1

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• GCD of 760, 649, 18, 789
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1. What is the GCD of 458, 144, 13, 921?

GCD of 458, 144, 13, 921 is 1

2. Where do I get the detailed procedure to find GCD of 458, 144, 13, 921?

You can find a detailed procedure to find GCD of 458, 144, 13, 921 on our page.

3. How to find GCD of 458, 144, 13, 921 on a calculator?

You can find the GCD of 458, 144, 13, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.