GCD of 645, 888, 468, 458 Calculator

Given Input numbers are 645, 888, 468, 458

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 458

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

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 645, 888, 468, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 888, 468, 458 is 1.

Therefore, GCD of numbers 645, 888, 468, 458 is 1

Given Input Data is 645, 888, 468, 458

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 458 is 2 x 229

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(645, 888) = 190920

GCD(645, 888) = ( 645 x 888 ) / 190920

GCD(645, 888) = 572760 / 190920

GCD(645, 888) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 468

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

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

GCD(3, 468) = 1404 / 468

GCD(3, 468) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 458

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

LCM(3, 458) = 1374

GCD(3, 458) = ( 3 x 458 ) / 1374

GCD(3, 458) = 1374 / 1374

GCD(3, 458) = 1

GCD of 645, 888, 468, 458 is 1

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1. What is the GCD of 645, 888, 468, 458?

GCD of 645, 888, 468, 458 is 1

2. Where do I get the detailed procedure to find GCD of 645, 888, 468, 458?

You can find a detailed procedure to find GCD of 645, 888, 468, 458 on our page.

3. How to find GCD of 645, 888, 468, 458 on a calculator?

You can find the GCD of 645, 888, 468, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.