GCD of 464, 800, 348 Calculator

Given Input numbers are 464, 800, 348

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 464, 800, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 800, 348 is 4.

Therefore, GCD of numbers 464, 800, 348 is 4

Given Input Data is 464, 800, 348

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 348 is 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(464, 800) = 23200

GCD(464, 800) = ( 464 x 800 ) / 23200

GCD(464, 800) = 371200 / 23200

GCD(464, 800) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 348

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

LCM(16, 348) = 1392

GCD(16, 348) = ( 16 x 348 ) / 1392

GCD(16, 348) = 5568 / 1392

GCD(16, 348) = 4

GCD of 464, 800, 348 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 188, 195
• GCD of 373, 620, 658
• GCD of 648, 479, 555
• GCD of 808, 236, 261
• GCD of 751, 307, 275

1. What is the GCD of 464, 800, 348?

GCD of 464, 800, 348 is 4

2. Where do I get the detailed procedure to find GCD of 464, 800, 348?

You can find a detailed procedure to find GCD of 464, 800, 348 on our page.

3. How to find GCD of 464, 800, 348 on a calculator?

You can find the GCD of 464, 800, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.