GCD of 199, 553, 12, 138 Calculator

Given Input numbers are 199, 553, 12, 138

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 199, 553, 12, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 553, 12, 138 is 1.

Therefore, GCD of numbers 199, 553, 12, 138 is 1

Given Input Data is 199, 553, 12, 138

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

Prime Factorization of 199 is 199

Prime Factorization of 553 is 7 x 79

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 138 is 2 x 3 x 23

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, 553) = 110047

GCD(199, 553) = ( 199 x 553 ) / 110047

GCD(199, 553) = 110047 / 110047

GCD(199, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 199, 553, 12, 138 is 1

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• GCD of 248, 254, 67, 518
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1. What is the GCD of 199, 553, 12, 138?

GCD of 199, 553, 12, 138 is 1

2. Where do I get the detailed procedure to find GCD of 199, 553, 12, 138?

You can find a detailed procedure to find GCD of 199, 553, 12, 138 on our page.

3. How to find GCD of 199, 553, 12, 138 on a calculator?

You can find the GCD of 199, 553, 12, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.