GCD of 842, 460, 984, 291 Calculator

Given Input numbers are 842, 460, 984, 291

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 842, 460, 984, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 460, 984, 291 is 1.

Therefore, GCD of numbers 842, 460, 984, 291 is 1

Given Input Data is 842, 460, 984, 291

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 291 is 3 x 97

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, 460) = 193660

GCD(842, 460) = ( 842 x 460 ) / 193660

GCD(842, 460) = 387320 / 193660

GCD(842, 460) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 984

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

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

GCD(2, 984) = 1968 / 984

GCD(2, 984) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 291

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

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

GCD(2, 291) = 582 / 582

GCD(2, 291) = 1

GCD of 842, 460, 984, 291 is 1

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1. What is the GCD of 842, 460, 984, 291?

GCD of 842, 460, 984, 291 is 1

2. Where do I get the detailed procedure to find GCD of 842, 460, 984, 291?

You can find a detailed procedure to find GCD of 842, 460, 984, 291 on our page.

3. How to find GCD of 842, 460, 984, 291 on a calculator?

You can find the GCD of 842, 460, 984, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.