GCD of 990, 225, 34, 643 Calculator

Given Input numbers are 990, 225, 34, 643

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 990, 225, 34, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 225, 34, 643 is 1.

Therefore, GCD of numbers 990, 225, 34, 643 is 1

Given Input Data is 990, 225, 34, 643

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 34 is 2 x 17

Prime Factorization of 643 is 643

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(990, 225) = 4950

GCD(990, 225) = ( 990 x 225 ) / 4950

GCD(990, 225) = 222750 / 4950

GCD(990, 225) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 34

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

LCM(45, 34) = 1530

GCD(45, 34) = ( 45 x 34 ) / 1530

GCD(45, 34) = 1530 / 1530

GCD(45, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 990, 225, 34, 643 is 1

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1. What is the GCD of 990, 225, 34, 643?

GCD of 990, 225, 34, 643 is 1

2. Where do I get the detailed procedure to find GCD of 990, 225, 34, 643?

You can find a detailed procedure to find GCD of 990, 225, 34, 643 on our page.

3. How to find GCD of 990, 225, 34, 643 on a calculator?

You can find the GCD of 990, 225, 34, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.