GCD of 199, 138, 46, 574 Calculator

Given Input numbers are 199, 138, 46, 574

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 138

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

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 199, 138, 46, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 138, 46, 574 is 1.

Therefore, GCD of numbers 199, 138, 46, 574 is 1

Given Input Data is 199, 138, 46, 574

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

Prime Factorization of 199 is 199

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 46 is 2 x 23

Prime Factorization of 574 is 2 x 7 x 41

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, 138) = 27462

GCD(199, 138) = ( 199 x 138 ) / 27462

GCD(199, 138) = 27462 / 27462

GCD(199, 138) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 199, 138, 46, 574 is 1

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• GCD of 267, 367, 91, 862
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1. What is the GCD of 199, 138, 46, 574?

GCD of 199, 138, 46, 574 is 1

2. Where do I get the detailed procedure to find GCD of 199, 138, 46, 574?

You can find a detailed procedure to find GCD of 199, 138, 46, 574 on our page.

3. How to find GCD of 199, 138, 46, 574 on a calculator?

You can find the GCD of 199, 138, 46, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.