GCD of 43, 199, 996, 138 Calculator

Given Input numbers are 43, 199, 996, 138

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 199

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

1, 199

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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 43, 199, 996, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 199, 996, 138 is 1.

Therefore, GCD of numbers 43, 199, 996, 138 is 1

Given Input Data is 43, 199, 996, 138

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

Prime Factorization of 43 is 43

Prime Factorization of 199 is 199

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(43, 199) = 8557

GCD(43, 199) = ( 43 x 199 ) / 8557

GCD(43, 199) = 8557 / 8557

GCD(43, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 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 43, 199, 996, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 783, 940, 748
• GCD of 67, 723, 188, 214
• GCD of 53, 877, 418, 109
• GCD of 33, 819, 599, 395
• GCD of 69, 638, 285, 490

1. What is the GCD of 43, 199, 996, 138?

GCD of 43, 199, 996, 138 is 1

2. Where do I get the detailed procedure to find GCD of 43, 199, 996, 138?

You can find a detailed procedure to find GCD of 43, 199, 996, 138 on our page.

3. How to find GCD of 43, 199, 996, 138 on a calculator?

You can find the GCD of 43, 199, 996, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.