GCD of 364, 106, 44, 463 Calculator

Given Input numbers are 364, 106, 44, 463

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 364, 106, 44, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 106, 44, 463 is 1.

Therefore, GCD of numbers 364, 106, 44, 463 is 1

Given Input Data is 364, 106, 44, 463

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 106 is 2 x 53

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 463 is 463

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, 106) = 19292

GCD(364, 106) = ( 364 x 106 ) / 19292

GCD(364, 106) = 38584 / 19292

GCD(364, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 463

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

LCM(2, 463) = 926

GCD(2, 463) = ( 2 x 463 ) / 926

GCD(2, 463) = 926 / 926

GCD(2, 463) = 1

GCD of 364, 106, 44, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 680, 55, 617
• GCD of 244, 913, 24, 210
• GCD of 435, 772, 12, 370
• GCD of 427, 802, 57, 430
• GCD of 266, 576, 53, 415

1. What is the GCD of 364, 106, 44, 463?

GCD of 364, 106, 44, 463 is 1

2. Where do I get the detailed procedure to find GCD of 364, 106, 44, 463?

You can find a detailed procedure to find GCD of 364, 106, 44, 463 on our page.

3. How to find GCD of 364, 106, 44, 463 on a calculator?

You can find the GCD of 364, 106, 44, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.