GCD of 114, 842, 873, 290 Calculator

Given Input numbers are 114, 842, 873, 290

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 842

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

1, 2, 421, 842

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 114, 842, 873, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 842, 873, 290 is 1.

Therefore, GCD of numbers 114, 842, 873, 290 is 1

Given Input Data is 114, 842, 873, 290

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 842 is 2 x 421

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 290 is 2 x 5 x 29

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(114, 842) = 47994

GCD(114, 842) = ( 114 x 842 ) / 47994

GCD(114, 842) = 95988 / 47994

GCD(114, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 873

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

LCM(2, 873) = 1746

GCD(2, 873) = ( 2 x 873 ) / 1746

GCD(2, 873) = 1746 / 1746

GCD(2, 873) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 114, 842, 873, 290 is 1

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• GCD of 614, 190, 602, 293
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1. What is the GCD of 114, 842, 873, 290?

GCD of 114, 842, 873, 290 is 1

2. Where do I get the detailed procedure to find GCD of 114, 842, 873, 290?

You can find a detailed procedure to find GCD of 114, 842, 873, 290 on our page.

3. How to find GCD of 114, 842, 873, 290 on a calculator?

You can find the GCD of 114, 842, 873, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.