GCD of 638, 814, 96, 633 Calculator

Given Input numbers are 638, 814, 96, 633

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 638, 814, 96, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 814, 96, 633 is 1.

Therefore, GCD of numbers 638, 814, 96, 633 is 1

Given Input Data is 638, 814, 96, 633

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 633 is 3 x 211

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(638, 814) = 23606

GCD(638, 814) = ( 638 x 814 ) / 23606

GCD(638, 814) = 519332 / 23606

GCD(638, 814) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 96

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

LCM(22, 96) = 1056

GCD(22, 96) = ( 22 x 96 ) / 1056

GCD(22, 96) = 2112 / 1056

GCD(22, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 633

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

LCM(2, 633) = 1266

GCD(2, 633) = ( 2 x 633 ) / 1266

GCD(2, 633) = 1266 / 1266

GCD(2, 633) = 1

GCD of 638, 814, 96, 633 is 1

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• GCD of 548, 652, 86, 190
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1. What is the GCD of 638, 814, 96, 633?

GCD of 638, 814, 96, 633 is 1

2. Where do I get the detailed procedure to find GCD of 638, 814, 96, 633?

You can find a detailed procedure to find GCD of 638, 814, 96, 633 on our page.

3. How to find GCD of 638, 814, 96, 633 on a calculator?

You can find the GCD of 638, 814, 96, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.