GCD of 902, 345, 638, 324 Calculator

Given Input numbers are 902, 345, 638, 324

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

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 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 902, 345, 638, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 345, 638, 324 is 1.

Therefore, GCD of numbers 902, 345, 638, 324 is 1

Given Input Data is 902, 345, 638, 324

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(902, 345) = 311190

GCD(902, 345) = ( 902 x 345 ) / 311190

GCD(902, 345) = 311190 / 311190

GCD(902, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 902, 345, 638, 324 is 1

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1. What is the GCD of 902, 345, 638, 324?

GCD of 902, 345, 638, 324 is 1

2. Where do I get the detailed procedure to find GCD of 902, 345, 638, 324?

You can find a detailed procedure to find GCD of 902, 345, 638, 324 on our page.

3. How to find GCD of 902, 345, 638, 324 on a calculator?

You can find the GCD of 902, 345, 638, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.