GCD of 784, 361, 44, 827 Calculator

Given Input numbers are 784, 361, 44, 827

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 44

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

1, 2, 4, 11, 22, 44

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 784, 361, 44, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 361, 44, 827 is 1.

Therefore, GCD of numbers 784, 361, 44, 827 is 1

Given Input Data is 784, 361, 44, 827

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 361 is 19 x 19

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 827 is 827

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(784, 361) = 283024

GCD(784, 361) = ( 784 x 361 ) / 283024

GCD(784, 361) = 283024 / 283024

GCD(784, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 784, 361, 44, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 989, 30, 789
• GCD of 112, 737, 62, 150
• GCD of 449, 639, 29, 549
• GCD of 164, 882, 65, 882
• GCD of 661, 473, 59, 553

1. What is the GCD of 784, 361, 44, 827?

GCD of 784, 361, 44, 827 is 1

2. Where do I get the detailed procedure to find GCD of 784, 361, 44, 827?

You can find a detailed procedure to find GCD of 784, 361, 44, 827 on our page.

3. How to find GCD of 784, 361, 44, 827 on a calculator?

You can find the GCD of 784, 361, 44, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.