GCD of 990, 667, 90, 434 Calculator

Given Input numbers are 990, 667, 90, 434

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 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 990, 667, 90, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 667, 90, 434 is 1.

Therefore, GCD of numbers 990, 667, 90, 434 is 1

Given Input Data is 990, 667, 90, 434

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 667 is 23 x 29

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 434 is 2 x 7 x 31

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, 667) = 660330

GCD(990, 667) = ( 990 x 667 ) / 660330

GCD(990, 667) = 660330 / 660330

GCD(990, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 990, 667, 90, 434 is 1

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1. What is the GCD of 990, 667, 90, 434?

GCD of 990, 667, 90, 434 is 1

2. Where do I get the detailed procedure to find GCD of 990, 667, 90, 434?

You can find a detailed procedure to find GCD of 990, 667, 90, 434 on our page.

3. How to find GCD of 990, 667, 90, 434 on a calculator?

You can find the GCD of 990, 667, 90, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.