GCD of 990, 427, 96, 119 Calculator

Given Input numbers are 990, 427, 96, 119

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 990, 427, 96, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 427, 96, 119 is 1.

Therefore, GCD of numbers 990, 427, 96, 119 is 1

Given Input Data is 990, 427, 96, 119

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 427 is 7 x 61

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

Prime Factorization of 119 is 7 x 17

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, 427) = 422730

GCD(990, 427) = ( 990 x 427 ) / 422730

GCD(990, 427) = 422730 / 422730

GCD(990, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 990, 427, 96, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 167, 38, 725
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• GCD of 376, 142, 54, 573
• GCD of 509, 755, 97, 360

1. What is the GCD of 990, 427, 96, 119?

GCD of 990, 427, 96, 119 is 1

2. Where do I get the detailed procedure to find GCD of 990, 427, 96, 119?

You can find a detailed procedure to find GCD of 990, 427, 96, 119 on our page.

3. How to find GCD of 990, 427, 96, 119 on a calculator?

You can find the GCD of 990, 427, 96, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.