GCD of 990, 192, 277, 212 Calculator

Given Input numbers are 990, 192, 277, 212

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 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 990, 192, 277, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 192, 277, 212 is 1.

Therefore, GCD of numbers 990, 192, 277, 212 is 1

Given Input Data is 990, 192, 277, 212

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 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 277 is 277

Prime Factorization of 212 is 2 x 2 x 53

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, 192) = 31680

GCD(990, 192) = ( 990 x 192 ) / 31680

GCD(990, 192) = 190080 / 31680

GCD(990, 192) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 277

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

LCM(6, 277) = 1662

GCD(6, 277) = ( 6 x 277 ) / 1662

GCD(6, 277) = 1662 / 1662

GCD(6, 277) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 990, 192, 277, 212 is 1

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1. What is the GCD of 990, 192, 277, 212?

GCD of 990, 192, 277, 212 is 1

2. Where do I get the detailed procedure to find GCD of 990, 192, 277, 212?

You can find a detailed procedure to find GCD of 990, 192, 277, 212 on our page.

3. How to find GCD of 990, 192, 277, 212 on a calculator?

You can find the GCD of 990, 192, 277, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.