GCD of 976, 800, 407, 230 Calculator

Given Input numbers are 976, 800, 407, 230

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 976, 800, 407, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 800, 407, 230 is 1.

Therefore, GCD of numbers 976, 800, 407, 230 is 1

Given Input Data is 976, 800, 407, 230

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 230 is 2 x 5 x 23

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(976, 800) = 48800

GCD(976, 800) = ( 976 x 800 ) / 48800

GCD(976, 800) = 780800 / 48800

GCD(976, 800) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 407

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

LCM(16, 407) = 6512

GCD(16, 407) = ( 16 x 407 ) / 6512

GCD(16, 407) = 6512 / 6512

GCD(16, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 976, 800, 407, 230 is 1

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1. What is the GCD of 976, 800, 407, 230?

GCD of 976, 800, 407, 230 is 1

2. Where do I get the detailed procedure to find GCD of 976, 800, 407, 230?

You can find a detailed procedure to find GCD of 976, 800, 407, 230 on our page.

3. How to find GCD of 976, 800, 407, 230 on a calculator?

You can find the GCD of 976, 800, 407, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.