GCD of 622, 712, 364, 838 Calculator

Given Input numbers are 622, 712, 364, 838

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

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 622, 712, 364, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 712, 364, 838 is 2.

Therefore, GCD of numbers 622, 712, 364, 838 is 2

Given Input Data is 622, 712, 364, 838

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 712 is 2 x 2 x 2 x 89

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

Prime Factorization of 838 is 2 x 419

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(622, 712) = 221432

GCD(622, 712) = ( 622 x 712 ) / 221432

GCD(622, 712) = 442864 / 221432

GCD(622, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

GCD of 622, 712, 364, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 363, 800, 405
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• GCD of 305, 597, 380, 902

1. What is the GCD of 622, 712, 364, 838?

GCD of 622, 712, 364, 838 is 2

2. Where do I get the detailed procedure to find GCD of 622, 712, 364, 838?

You can find a detailed procedure to find GCD of 622, 712, 364, 838 on our page.

3. How to find GCD of 622, 712, 364, 838 on a calculator?

You can find the GCD of 622, 712, 364, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.