GCD of 663, 969, 78, 899 Calculator

Given Input numbers are 663, 969, 78, 899

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 663, 969, 78, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 969, 78, 899 is 1.

Therefore, GCD of numbers 663, 969, 78, 899 is 1

Given Input Data is 663, 969, 78, 899

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 899 is 29 x 31

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(663, 969) = 12597

GCD(663, 969) = ( 663 x 969 ) / 12597

GCD(663, 969) = 642447 / 12597

GCD(663, 969) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 78

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

LCM(51, 78) = 1326

GCD(51, 78) = ( 51 x 78 ) / 1326

GCD(51, 78) = 3978 / 1326

GCD(51, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 899

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

LCM(3, 899) = 2697

GCD(3, 899) = ( 3 x 899 ) / 2697

GCD(3, 899) = 2697 / 2697

GCD(3, 899) = 1

GCD of 663, 969, 78, 899 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 937, 60, 226
• GCD of 532, 230, 56, 562
• GCD of 638, 712, 36, 630
• GCD of 290, 709, 26, 118
• GCD of 664, 377, 96, 626

1. What is the GCD of 663, 969, 78, 899?

GCD of 663, 969, 78, 899 is 1

2. Where do I get the detailed procedure to find GCD of 663, 969, 78, 899?

You can find a detailed procedure to find GCD of 663, 969, 78, 899 on our page.

3. How to find GCD of 663, 969, 78, 899 on a calculator?

You can find the GCD of 663, 969, 78, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.