GCD of 842, 214, 84, 467 Calculator

Given Input numbers are 842, 214, 84, 467

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 842, 214, 84, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 214, 84, 467 is 1.

Therefore, GCD of numbers 842, 214, 84, 467 is 1

Given Input Data is 842, 214, 84, 467

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 214 is 2 x 107

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 467 is 467

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(842, 214) = 90094

GCD(842, 214) = ( 842 x 214 ) / 90094

GCD(842, 214) = 180188 / 90094

GCD(842, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 467

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

LCM(2, 467) = 934

GCD(2, 467) = ( 2 x 467 ) / 934

GCD(2, 467) = 934 / 934

GCD(2, 467) = 1

GCD of 842, 214, 84, 467 is 1

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1. What is the GCD of 842, 214, 84, 467?

GCD of 842, 214, 84, 467 is 1

2. Where do I get the detailed procedure to find GCD of 842, 214, 84, 467?

You can find a detailed procedure to find GCD of 842, 214, 84, 467 on our page.

3. How to find GCD of 842, 214, 84, 467 on a calculator?

You can find the GCD of 842, 214, 84, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.