GCD of 364, 369, 20, 376 Calculator

Given Input numbers are 364, 369, 20, 376

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 369

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

1, 3, 9, 41, 123, 369

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 364, 369, 20, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 369, 20, 376 is 1.

Therefore, GCD of numbers 364, 369, 20, 376 is 1

Given Input Data is 364, 369, 20, 376

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 376 is 2 x 2 x 2 x 47

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(364, 369) = 134316

GCD(364, 369) = ( 364 x 369 ) / 134316

GCD(364, 369) = 134316 / 134316

GCD(364, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

GCD of 364, 369, 20, 376 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 260, 79, 707
• GCD of 834, 296, 37, 525
• GCD of 384, 830, 56, 945
• GCD of 722, 665, 32, 869
• GCD of 153, 365, 81, 949

1. What is the GCD of 364, 369, 20, 376?

GCD of 364, 369, 20, 376 is 1

2. Where do I get the detailed procedure to find GCD of 364, 369, 20, 376?

You can find a detailed procedure to find GCD of 364, 369, 20, 376 on our page.

3. How to find GCD of 364, 369, 20, 376 on a calculator?

You can find the GCD of 364, 369, 20, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.