GCD of 984, 719, 42, 290 Calculator

Given Input numbers are 984, 719, 42, 290

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

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 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 984, 719, 42, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 719, 42, 290 is 1.

Therefore, GCD of numbers 984, 719, 42, 290 is 1

Given Input Data is 984, 719, 42, 290

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

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

Prime Factorization of 719 is 719

Prime Factorization of 42 is 2 x 3 x 7

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(984, 719) = 707496

GCD(984, 719) = ( 984 x 719 ) / 707496

GCD(984, 719) = 707496 / 707496

GCD(984, 719) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 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 984, 719, 42, 290 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 282, 48, 142
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• GCD of 220, 315, 59, 457

1. What is the GCD of 984, 719, 42, 290?

GCD of 984, 719, 42, 290 is 1

2. Where do I get the detailed procedure to find GCD of 984, 719, 42, 290?

You can find a detailed procedure to find GCD of 984, 719, 42, 290 on our page.

3. How to find GCD of 984, 719, 42, 290 on a calculator?

You can find the GCD of 984, 719, 42, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.