GCD of 346, 504, 804, 320 Calculator

Given Input numbers are 346, 504, 804, 320

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

Divisors of 346

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

1, 2, 173, 346

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 346, 504, 804, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 504, 804, 320 is 2.

Therefore, GCD of numbers 346, 504, 804, 320 is 2

Given Input Data is 346, 504, 804, 320

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(346, 504) = 87192

GCD(346, 504) = ( 346 x 504 ) / 87192

GCD(346, 504) = 174384 / 87192

GCD(346, 504) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

GCD of 346, 504, 804, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 776, 372, 409
• GCD of 590, 425, 997, 898
• GCD of 803, 387, 575, 243
• GCD of 291, 111, 260, 790
• GCD of 962, 948, 664, 534

1. What is the GCD of 346, 504, 804, 320?

GCD of 346, 504, 804, 320 is 2

2. Where do I get the detailed procedure to find GCD of 346, 504, 804, 320?

You can find a detailed procedure to find GCD of 346, 504, 804, 320 on our page.

3. How to find GCD of 346, 504, 804, 320 on a calculator?

You can find the GCD of 346, 504, 804, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.