GCD of 199, 907, 989, 212 Calculator

Given Input numbers are 199, 907, 989, 212

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 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 989

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

1, 23, 43, 989

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 199, 907, 989, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 907, 989, 212 is 1.

Therefore, GCD of numbers 199, 907, 989, 212 is 1

Given Input Data is 199, 907, 989, 212

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

Prime Factorization of 199 is 199

Prime Factorization of 907 is 907

Prime Factorization of 989 is 23 x 43

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(199, 907) = 180493

GCD(199, 907) = ( 199 x 907 ) / 180493

GCD(199, 907) = 180493 / 180493

GCD(199, 907) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 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 199, 907, 989, 212 is 1

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1. What is the GCD of 199, 907, 989, 212?

GCD of 199, 907, 989, 212 is 1

2. Where do I get the detailed procedure to find GCD of 199, 907, 989, 212?

You can find a detailed procedure to find GCD of 199, 907, 989, 212 on our page.

3. How to find GCD of 199, 907, 989, 212 on a calculator?

You can find the GCD of 199, 907, 989, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.