GCD of 78, 656, 665, 998 Calculator

Given Input numbers are 78, 656, 665, 998

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 78, 656, 665, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 656, 665, 998 is 1.

Therefore, GCD of numbers 78, 656, 665, 998 is 1

Given Input Data is 78, 656, 665, 998

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 998 is 2 x 499

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(78, 656) = 25584

GCD(78, 656) = ( 78 x 656 ) / 25584

GCD(78, 656) = 51168 / 25584

GCD(78, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 665

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

LCM(2, 665) = 1330

GCD(2, 665) = ( 2 x 665 ) / 1330

GCD(2, 665) = 1330 / 1330

GCD(2, 665) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 78, 656, 665, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 379, 533, 669
• GCD of 56, 922, 884, 141
• GCD of 99, 276, 669, 148
• GCD of 50, 295, 818, 432
• GCD of 41, 347, 363, 538

1. What is the GCD of 78, 656, 665, 998?

GCD of 78, 656, 665, 998 is 1

2. Where do I get the detailed procedure to find GCD of 78, 656, 665, 998?

You can find a detailed procedure to find GCD of 78, 656, 665, 998 on our page.

3. How to find GCD of 78, 656, 665, 998 on a calculator?

You can find the GCD of 78, 656, 665, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.