GCD of 990, 989, 142 Calculator

Given Input numbers are 990, 989, 142

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 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 990, 989, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 989, 142 is 1.

Therefore, GCD of numbers 990, 989, 142 is 1

Given Input Data is 990, 989, 142

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 989 is 23 x 43

Prime Factorization of 142 is 2 x 71

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, 989) = 979110

GCD(990, 989) = ( 990 x 989 ) / 979110

GCD(990, 989) = 979110 / 979110

GCD(990, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 990, 989, 142 is 1

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1. What is the GCD of 990, 989, 142?

GCD of 990, 989, 142 is 1

2. Where do I get the detailed procedure to find GCD of 990, 989, 142?

You can find a detailed procedure to find GCD of 990, 989, 142 on our page.

3. How to find GCD of 990, 989, 142 on a calculator?

You can find the GCD of 990, 989, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.