GCD of 996, 678, 665, 704 Calculator

Given Input numbers are 996, 678, 665, 704

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 996, 678, 665, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 678, 665, 704 is 1.

Therefore, GCD of numbers 996, 678, 665, 704 is 1

Given Input Data is 996, 678, 665, 704

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(996, 678) = 112548

GCD(996, 678) = ( 996 x 678 ) / 112548

GCD(996, 678) = 675288 / 112548

GCD(996, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 665

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

LCM(6, 665) = 3990

GCD(6, 665) = ( 6 x 665 ) / 3990

GCD(6, 665) = 3990 / 3990

GCD(6, 665) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 996, 678, 665, 704 is 1

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1. What is the GCD of 996, 678, 665, 704?

GCD of 996, 678, 665, 704 is 1

2. Where do I get the detailed procedure to find GCD of 996, 678, 665, 704?

You can find a detailed procedure to find GCD of 996, 678, 665, 704 on our page.

3. How to find GCD of 996, 678, 665, 704 on a calculator?

You can find the GCD of 996, 678, 665, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.