GCD of 90, 330, 465, 331 Calculator

Given Input numbers are 90, 330, 465, 331

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

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 90, 330, 465, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 330, 465, 331 is 1.

Therefore, GCD of numbers 90, 330, 465, 331 is 1

Given Input Data is 90, 330, 465, 331

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

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 331 is 331

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(90, 330) = 990

GCD(90, 330) = ( 90 x 330 ) / 990

GCD(90, 330) = 29700 / 990

GCD(90, 330) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 465

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

LCM(30, 465) = 930

GCD(30, 465) = ( 30 x 465 ) / 930

GCD(30, 465) = 13950 / 930

GCD(30, 465) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 331

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

LCM(15, 331) = 4965

GCD(15, 331) = ( 15 x 331 ) / 4965

GCD(15, 331) = 4965 / 4965

GCD(15, 331) = 1

GCD of 90, 330, 465, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 192, 376, 573
• GCD of 66, 106, 818, 514
• GCD of 57, 920, 619, 516
• GCD of 51, 465, 199, 547
• GCD of 85, 123, 134, 647

1. What is the GCD of 90, 330, 465, 331?

GCD of 90, 330, 465, 331 is 1

2. Where do I get the detailed procedure to find GCD of 90, 330, 465, 331?

You can find a detailed procedure to find GCD of 90, 330, 465, 331 on our page.

3. How to find GCD of 90, 330, 465, 331 on a calculator?

You can find the GCD of 90, 330, 465, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.