GCD of 834, 138, 604, 926 Calculator

Given Input numbers are 834, 138, 604, 926

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 604

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

1, 2, 4, 151, 302, 604

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 834, 138, 604, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 138, 604, 926 is 2.

Therefore, GCD of numbers 834, 138, 604, 926 is 2

Given Input Data is 834, 138, 604, 926

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 926 is 2 x 463

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(834, 138) = 19182

GCD(834, 138) = ( 834 x 138 ) / 19182

GCD(834, 138) = 115092 / 19182

GCD(834, 138) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 604

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

LCM(6, 604) = 1812

GCD(6, 604) = ( 6 x 604 ) / 1812

GCD(6, 604) = 3624 / 1812

GCD(6, 604) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 926

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

LCM(2, 926) = 926

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

GCD(2, 926) = 1852 / 926

GCD(2, 926) = 2

GCD of 834, 138, 604, 926 is 2

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1. What is the GCD of 834, 138, 604, 926?

GCD of 834, 138, 604, 926 is 2

2. Where do I get the detailed procedure to find GCD of 834, 138, 604, 926?

You can find a detailed procedure to find GCD of 834, 138, 604, 926 on our page.

3. How to find GCD of 834, 138, 604, 926 on a calculator?

You can find the GCD of 834, 138, 604, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.