GCD of 412, 280, 83, 384 Calculator

Given Input numbers are 412, 280, 83, 384

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

Divisors of 412

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

1, 2, 4, 103, 206, 412

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 83

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

1, 83

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 412, 280, 83, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 280, 83, 384 is 1.

Therefore, GCD of numbers 412, 280, 83, 384 is 1

Given Input Data is 412, 280, 83, 384

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 83 is 83

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(412, 280) = 28840

GCD(412, 280) = ( 412 x 280 ) / 28840

GCD(412, 280) = 115360 / 28840

GCD(412, 280) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 83

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

LCM(4, 83) = 332

GCD(4, 83) = ( 4 x 83 ) / 332

GCD(4, 83) = 332 / 332

GCD(4, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 412, 280, 83, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 295, 18, 881
• GCD of 230, 325, 82, 681
• GCD of 210, 489, 26, 969
• GCD of 413, 432, 80, 429
• GCD of 513, 686, 93, 862

1. What is the GCD of 412, 280, 83, 384?

GCD of 412, 280, 83, 384 is 1

2. Where do I get the detailed procedure to find GCD of 412, 280, 83, 384?

You can find a detailed procedure to find GCD of 412, 280, 83, 384 on our page.

3. How to find GCD of 412, 280, 83, 384 on a calculator?

You can find the GCD of 412, 280, 83, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.