GCD of 400, 229, 876, 830 Calculator

Given Input numbers are 400, 229, 876, 830

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 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 400, 229, 876, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 229, 876, 830 is 1.

Therefore, GCD of numbers 400, 229, 876, 830 is 1

Given Input Data is 400, 229, 876, 830

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 229 is 229

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 830 is 2 x 5 x 83

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, 229) = 91600

GCD(400, 229) = ( 400 x 229 ) / 91600

GCD(400, 229) = 91600 / 91600

GCD(400, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 400, 229, 876, 830 is 1

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1. What is the GCD of 400, 229, 876, 830?

GCD of 400, 229, 876, 830 is 1

2. Where do I get the detailed procedure to find GCD of 400, 229, 876, 830?

You can find a detailed procedure to find GCD of 400, 229, 876, 830 on our page.

3. How to find GCD of 400, 229, 876, 830 on a calculator?

You can find the GCD of 400, 229, 876, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.