GCD of 344, 392, 43, 821 Calculator

Given Input numbers are 344, 392, 43, 821

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 344, 392, 43, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 392, 43, 821 is 1.

Therefore, GCD of numbers 344, 392, 43, 821 is 1

Given Input Data is 344, 392, 43, 821

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 43 is 43

Prime Factorization of 821 is 821

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(344, 392) = 16856

GCD(344, 392) = ( 344 x 392 ) / 16856

GCD(344, 392) = 134848 / 16856

GCD(344, 392) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 43

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

LCM(8, 43) = 344

GCD(8, 43) = ( 8 x 43 ) / 344

GCD(8, 43) = 344 / 344

GCD(8, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 344, 392, 43, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 367, 89, 575
• GCD of 978, 832, 55, 300
• GCD of 831, 991, 11, 924
• GCD of 706, 434, 63, 392
• GCD of 391, 834, 64, 296

1. What is the GCD of 344, 392, 43, 821?

GCD of 344, 392, 43, 821 is 1

2. Where do I get the detailed procedure to find GCD of 344, 392, 43, 821?

You can find a detailed procedure to find GCD of 344, 392, 43, 821 on our page.

3. How to find GCD of 344, 392, 43, 821 on a calculator?

You can find the GCD of 344, 392, 43, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.