GCD of 984, 779, 415, 705 Calculator

Given Input numbers are 984, 779, 415, 705

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 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 984, 779, 415, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 779, 415, 705 is 1.

Therefore, GCD of numbers 984, 779, 415, 705 is 1

Given Input Data is 984, 779, 415, 705

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 779 is 19 x 41

Prime Factorization of 415 is 5 x 83

Prime Factorization of 705 is 3 x 5 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, 779) = 18696

GCD(984, 779) = ( 984 x 779 ) / 18696

GCD(984, 779) = 766536 / 18696

GCD(984, 779) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 415

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

LCM(41, 415) = 17015

GCD(41, 415) = ( 41 x 415 ) / 17015

GCD(41, 415) = 17015 / 17015

GCD(41, 415) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 984, 779, 415, 705 is 1

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• GCD of 709, 710, 123, 180

1. What is the GCD of 984, 779, 415, 705?

GCD of 984, 779, 415, 705 is 1

2. Where do I get the detailed procedure to find GCD of 984, 779, 415, 705?

You can find a detailed procedure to find GCD of 984, 779, 415, 705 on our page.

3. How to find GCD of 984, 779, 415, 705 on a calculator?

You can find the GCD of 984, 779, 415, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.