GCD of 838, 154, 604, 794 Calculator

Given Input numbers are 838, 154, 604, 794

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

Divisors of 838

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

1, 2, 419, 838

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 838, 154, 604, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 154, 604, 794 is 2.

Therefore, GCD of numbers 838, 154, 604, 794 is 2

Given Input Data is 838, 154, 604, 794

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 794 is 2 x 397

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(838, 154) = 64526

GCD(838, 154) = ( 838 x 154 ) / 64526

GCD(838, 154) = 129052 / 64526

GCD(838, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 604

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

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

GCD(2, 604) = 1208 / 604

GCD(2, 604) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 794

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

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

GCD(2, 794) = 1588 / 794

GCD(2, 794) = 2

GCD of 838, 154, 604, 794 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 591, 996, 467
• GCD of 287, 798, 725, 507
• GCD of 676, 509, 929, 189
• GCD of 919, 508, 947, 374
• GCD of 893, 921, 308, 478

1. What is the GCD of 838, 154, 604, 794?

GCD of 838, 154, 604, 794 is 2

2. Where do I get the detailed procedure to find GCD of 838, 154, 604, 794?

You can find a detailed procedure to find GCD of 838, 154, 604, 794 on our page.

3. How to find GCD of 838, 154, 604, 794 on a calculator?

You can find the GCD of 838, 154, 604, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.