GCD of 199, 290, 99, 942 Calculator

Given Input numbers are 199, 290, 99, 942

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 199, 290, 99, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 290, 99, 942 is 1.

Therefore, GCD of numbers 199, 290, 99, 942 is 1

Given Input Data is 199, 290, 99, 942

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

Prime Factorization of 199 is 199

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 942 is 2 x 3 x 157

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(199, 290) = 57710

GCD(199, 290) = ( 199 x 290 ) / 57710

GCD(199, 290) = 57710 / 57710

GCD(199, 290) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 199, 290, 99, 942 is 1

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1. What is the GCD of 199, 290, 99, 942?

GCD of 199, 290, 99, 942 is 1

2. Where do I get the detailed procedure to find GCD of 199, 290, 99, 942?

You can find a detailed procedure to find GCD of 199, 290, 99, 942 on our page.

3. How to find GCD of 199, 290, 99, 942 on a calculator?

You can find the GCD of 199, 290, 99, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.