GCD of 984, 133, 50, 343 Calculator

Given Input numbers are 984, 133, 50, 343

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 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 984, 133, 50, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 133, 50, 343 is 1.

Therefore, GCD of numbers 984, 133, 50, 343 is 1

Given Input Data is 984, 133, 50, 343

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 133 is 7 x 19

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 343 is 7 x 7 x 7

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, 133) = 130872

GCD(984, 133) = ( 984 x 133 ) / 130872

GCD(984, 133) = 130872 / 130872

GCD(984, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 984, 133, 50, 343 is 1

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1. What is the GCD of 984, 133, 50, 343?

GCD of 984, 133, 50, 343 is 1

2. Where do I get the detailed procedure to find GCD of 984, 133, 50, 343?

You can find a detailed procedure to find GCD of 984, 133, 50, 343 on our page.

3. How to find GCD of 984, 133, 50, 343 on a calculator?

You can find the GCD of 984, 133, 50, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.