GCD of 369, 790, 380, 146 Calculator

Given Input numbers are 369, 790, 380, 146

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 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 369, 790, 380, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 790, 380, 146 is 1.

Therefore, GCD of numbers 369, 790, 380, 146 is 1

Given Input Data is 369, 790, 380, 146

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 790 is 2 x 5 x 79

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 146 is 2 x 73

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, 790) = 291510

GCD(369, 790) = ( 369 x 790 ) / 291510

GCD(369, 790) = 291510 / 291510

GCD(369, 790) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 369, 790, 380, 146 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 353, 724, 982
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• GCD of 624, 111, 144, 551

1. What is the GCD of 369, 790, 380, 146?

GCD of 369, 790, 380, 146 is 1

2. Where do I get the detailed procedure to find GCD of 369, 790, 380, 146?

You can find a detailed procedure to find GCD of 369, 790, 380, 146 on our page.

3. How to find GCD of 369, 790, 380, 146 on a calculator?

You can find the GCD of 369, 790, 380, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.