GCD of 984, 708, 719, 188 Calculator

Given Input numbers are 984, 708, 719, 188

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 719

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

1, 719

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 984, 708, 719, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 708, 719, 188 is 1.

Therefore, GCD of numbers 984, 708, 719, 188 is 1

Given Input Data is 984, 708, 719, 188

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 708 is 2 x 2 x 3 x 59

Prime Factorization of 719 is 719

Prime Factorization of 188 is 2 x 2 x 47

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, 708) = 58056

GCD(984, 708) = ( 984 x 708 ) / 58056

GCD(984, 708) = 696672 / 58056

GCD(984, 708) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 719

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

LCM(12, 719) = 8628

GCD(12, 719) = ( 12 x 719 ) / 8628

GCD(12, 719) = 8628 / 8628

GCD(12, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 984, 708, 719, 188 is 1

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1. What is the GCD of 984, 708, 719, 188?

GCD of 984, 708, 719, 188 is 1

2. Where do I get the detailed procedure to find GCD of 984, 708, 719, 188?

You can find a detailed procedure to find GCD of 984, 708, 719, 188 on our page.

3. How to find GCD of 984, 708, 719, 188 on a calculator?

You can find the GCD of 984, 708, 719, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.