GCD of 104, 932, 612, 334 Calculator

Given Input numbers are 104, 932, 612, 334

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 104, 932, 612, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 932, 612, 334 is 2.

Therefore, GCD of numbers 104, 932, 612, 334 is 2

Given Input Data is 104, 932, 612, 334

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 334 is 2 x 167

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(104, 932) = 24232

GCD(104, 932) = ( 104 x 932 ) / 24232

GCD(104, 932) = 96928 / 24232

GCD(104, 932) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 612

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

LCM(4, 612) = 612

GCD(4, 612) = ( 4 x 612 ) / 612

GCD(4, 612) = 2448 / 612

GCD(4, 612) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 334

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

LCM(4, 334) = 668

GCD(4, 334) = ( 4 x 334 ) / 668

GCD(4, 334) = 1336 / 668

GCD(4, 334) = 2

GCD of 104, 932, 612, 334 is 2

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1. What is the GCD of 104, 932, 612, 334?

GCD of 104, 932, 612, 334 is 2

2. Where do I get the detailed procedure to find GCD of 104, 932, 612, 334?

You can find a detailed procedure to find GCD of 104, 932, 612, 334 on our page.

3. How to find GCD of 104, 932, 612, 334 on a calculator?

You can find the GCD of 104, 932, 612, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.