GCD of 800, 288, 709, 464 Calculator

Given Input numbers are 800, 288, 709, 464

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

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

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

Greatest Common Divisior

We found the divisors of 800, 288, 709, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 288, 709, 464 is 1.

Therefore, GCD of numbers 800, 288, 709, 464 is 1

Given Input Data is 800, 288, 709, 464

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

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 709 is 709

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

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(800, 288) = 7200

GCD(800, 288) = ( 800 x 288 ) / 7200

GCD(800, 288) = 230400 / 7200

GCD(800, 288) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 709

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

LCM(32, 709) = 22688

GCD(32, 709) = ( 32 x 709 ) / 22688

GCD(32, 709) = 22688 / 22688

GCD(32, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 800, 288, 709, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 235, 439, 897
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• GCD of 502, 935, 514, 166

1. What is the GCD of 800, 288, 709, 464?

GCD of 800, 288, 709, 464 is 1

2. Where do I get the detailed procedure to find GCD of 800, 288, 709, 464?

You can find a detailed procedure to find GCD of 800, 288, 709, 464 on our page.

3. How to find GCD of 800, 288, 709, 464 on a calculator?

You can find the GCD of 800, 288, 709, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.