GCD of 830, 428, 83, 412 Calculator

Given Input numbers are 830, 428, 83, 412

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

Divisors of 830

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

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 830, 428, 83, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 428, 83, 412 is 1.

Therefore, GCD of numbers 830, 428, 83, 412 is 1

Given Input Data is 830, 428, 83, 412

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 83 is 83

Prime Factorization of 412 is 2 x 2 x 103

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(830, 428) = 177620

GCD(830, 428) = ( 830 x 428 ) / 177620

GCD(830, 428) = 355240 / 177620

GCD(830, 428) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 830, 428, 83, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 848, 34, 424
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• GCD of 995, 304, 24, 163
• GCD of 753, 182, 61, 705

1. What is the GCD of 830, 428, 83, 412?

GCD of 830, 428, 83, 412 is 1

2. Where do I get the detailed procedure to find GCD of 830, 428, 83, 412?

You can find a detailed procedure to find GCD of 830, 428, 83, 412 on our page.

3. How to find GCD of 830, 428, 83, 412 on a calculator?

You can find the GCD of 830, 428, 83, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.