GCD of 400, 235, 271, 812 Calculator

Given Input numbers are 400, 235, 271, 812

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 400, 235, 271, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 235, 271, 812 is 1.

Therefore, GCD of numbers 400, 235, 271, 812 is 1

Given Input Data is 400, 235, 271, 812

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 235 is 5 x 47

Prime Factorization of 271 is 271

Prime Factorization of 812 is 2 x 2 x 7 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(400, 235) = 18800

GCD(400, 235) = ( 400 x 235 ) / 18800

GCD(400, 235) = 94000 / 18800

GCD(400, 235) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 271

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

LCM(5, 271) = 1355

GCD(5, 271) = ( 5 x 271 ) / 1355

GCD(5, 271) = 1355 / 1355

GCD(5, 271) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 400, 235, 271, 812 is 1

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• GCD of 472, 566, 689, 259
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1. What is the GCD of 400, 235, 271, 812?

GCD of 400, 235, 271, 812 is 1

2. Where do I get the detailed procedure to find GCD of 400, 235, 271, 812?

You can find a detailed procedure to find GCD of 400, 235, 271, 812 on our page.

3. How to find GCD of 400, 235, 271, 812 on a calculator?

You can find the GCD of 400, 235, 271, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.