GCD of 734, 346, 804 Calculator

Given Input numbers are 734, 346, 804

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 734, 346, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 346, 804 is 2.

Therefore, GCD of numbers 734, 346, 804 is 2

Given Input Data is 734, 346, 804

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 346 is 2 x 173

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(734, 346) = 126982

GCD(734, 346) = ( 734 x 346 ) / 126982

GCD(734, 346) = 253964 / 126982

GCD(734, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

GCD of 734, 346, 804 is 2

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1. What is the GCD of 734, 346, 804?

GCD of 734, 346, 804 is 2

2. Where do I get the detailed procedure to find GCD of 734, 346, 804?

You can find a detailed procedure to find GCD of 734, 346, 804 on our page.

3. How to find GCD of 734, 346, 804 on a calculator?

You can find the GCD of 734, 346, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.