GCD of 57, 716, 348, 800 Calculator

Given Input numbers are 57, 716, 348, 800

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

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

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

Greatest Common Divisior

We found the divisors of 57, 716, 348, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 716, 348, 800 is 1.

Therefore, GCD of numbers 57, 716, 348, 800 is 1

Given Input Data is 57, 716, 348, 800

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 716 is 2 x 2 x 179

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

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

The above numbers do not have any common prime factor. So GCD is 1

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(57, 716) = 40812

GCD(57, 716) = ( 57 x 716 ) / 40812

GCD(57, 716) = 40812 / 40812

GCD(57, 716) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 57, 716, 348, 800 is 1

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1. What is the GCD of 57, 716, 348, 800?

GCD of 57, 716, 348, 800 is 1

2. Where do I get the detailed procedure to find GCD of 57, 716, 348, 800?

You can find a detailed procedure to find GCD of 57, 716, 348, 800 on our page.

3. How to find GCD of 57, 716, 348, 800 on a calculator?

You can find the GCD of 57, 716, 348, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.