GCD of 369, 800, 37, 460 Calculator

Given Input numbers are 369, 800, 37, 460

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 369, 800, 37, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 800, 37, 460 is 1.

Therefore, GCD of numbers 369, 800, 37, 460 is 1

Given Input Data is 369, 800, 37, 460

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 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 37 is 37

Prime Factorization of 460 is 2 x 2 x 5 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(369, 800) = 295200

GCD(369, 800) = ( 369 x 800 ) / 295200

GCD(369, 800) = 295200 / 295200

GCD(369, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 369, 800, 37, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 796, 380, 58, 261
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• GCD of 455, 843, 49, 639
• GCD of 373, 229, 22, 510
• GCD of 917, 156, 69, 840

1. What is the GCD of 369, 800, 37, 460?

GCD of 369, 800, 37, 460 is 1

2. Where do I get the detailed procedure to find GCD of 369, 800, 37, 460?

You can find a detailed procedure to find GCD of 369, 800, 37, 460 on our page.

3. How to find GCD of 369, 800, 37, 460 on a calculator?

You can find the GCD of 369, 800, 37, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.