GCD of 369, 830, 42, 193 Calculator

Given Input numbers are 369, 830, 42, 193

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 369, 830, 42, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 830, 42, 193 is 1.

Therefore, GCD of numbers 369, 830, 42, 193 is 1

Given Input Data is 369, 830, 42, 193

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 193 is 193

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(369, 830) = 306270

GCD(369, 830) = ( 369 x 830 ) / 306270

GCD(369, 830) = 306270 / 306270

GCD(369, 830) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 193

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

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

GCD(1, 193) = 193 / 193

GCD(1, 193) = 1

GCD of 369, 830, 42, 193 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 873, 23, 498
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• GCD of 503, 144, 95, 405
• GCD of 224, 726, 50, 593
• GCD of 955, 679, 14, 483

1. What is the GCD of 369, 830, 42, 193?

GCD of 369, 830, 42, 193 is 1

2. Where do I get the detailed procedure to find GCD of 369, 830, 42, 193?

You can find a detailed procedure to find GCD of 369, 830, 42, 193 on our page.

3. How to find GCD of 369, 830, 42, 193 on a calculator?

You can find the GCD of 369, 830, 42, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.