GCD of 664, 105, 780, 254 Calculator

Given Input numbers are 664, 105, 780, 254

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

Divisors of 664

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

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 664, 105, 780, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 105, 780, 254 is 1.

Therefore, GCD of numbers 664, 105, 780, 254 is 1

Given Input Data is 664, 105, 780, 254

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

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 254 is 2 x 127

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(664, 105) = 69720

GCD(664, 105) = ( 664 x 105 ) / 69720

GCD(664, 105) = 69720 / 69720

GCD(664, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 664, 105, 780, 254 is 1

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1. What is the GCD of 664, 105, 780, 254?

GCD of 664, 105, 780, 254 is 1

2. Where do I get the detailed procedure to find GCD of 664, 105, 780, 254?

You can find a detailed procedure to find GCD of 664, 105, 780, 254 on our page.

3. How to find GCD of 664, 105, 780, 254 on a calculator?

You can find the GCD of 664, 105, 780, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.