GCD of 800, 464, 25, 234 Calculator

Given Input numbers are 800, 464, 25, 234

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 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 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 800, 464, 25, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 464, 25, 234 is 1.

Therefore, GCD of numbers 800, 464, 25, 234 is 1

Given Input Data is 800, 464, 25, 234

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 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 25 is 5 x 5

Prime Factorization of 234 is 2 x 3 x 3 x 13

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, 464) = 23200

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

GCD(800, 464) = 371200 / 23200

GCD(800, 464) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 25

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

LCM(16, 25) = 400

GCD(16, 25) = ( 16 x 25 ) / 400

GCD(16, 25) = 400 / 400

GCD(16, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 800, 464, 25, 234 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 848, 95, 631
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• GCD of 850, 981, 16, 599
• GCD of 592, 843, 39, 507

1. What is the GCD of 800, 464, 25, 234?

GCD of 800, 464, 25, 234 is 1

2. Where do I get the detailed procedure to find GCD of 800, 464, 25, 234?

You can find a detailed procedure to find GCD of 800, 464, 25, 234 on our page.

3. How to find GCD of 800, 464, 25, 234 on a calculator?

You can find the GCD of 800, 464, 25, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.