GCD of 369, 663, 954, 664 Calculator

Given Input numbers are 369, 663, 954, 664

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 369, 663, 954, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 663, 954, 664 is 1.

Therefore, GCD of numbers 369, 663, 954, 664 is 1

Given Input Data is 369, 663, 954, 664

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(369, 663) = 81549

GCD(369, 663) = ( 369 x 663 ) / 81549

GCD(369, 663) = 244647 / 81549

GCD(369, 663) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 954

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

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

GCD(3, 954) = 2862 / 954

GCD(3, 954) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 664

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

LCM(3, 664) = 1992

GCD(3, 664) = ( 3 x 664 ) / 1992

GCD(3, 664) = 1992 / 1992

GCD(3, 664) = 1

GCD of 369, 663, 954, 664 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 832, 753, 733
• GCD of 294, 946, 540, 879
• GCD of 221, 585, 737, 538
• GCD of 634, 203, 224, 664
• GCD of 999, 625, 647, 852

1. What is the GCD of 369, 663, 954, 664?

GCD of 369, 663, 954, 664 is 1

2. Where do I get the detailed procedure to find GCD of 369, 663, 954, 664?

You can find a detailed procedure to find GCD of 369, 663, 954, 664 on our page.

3. How to find GCD of 369, 663, 954, 664 on a calculator?

You can find the GCD of 369, 663, 954, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.