GCD of 777, 108, 239, 106 Calculator

Given Input numbers are 777, 108, 239, 106

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

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 777, 108, 239, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 108, 239, 106 is 1.

Therefore, GCD of numbers 777, 108, 239, 106 is 1

Given Input Data is 777, 108, 239, 106

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

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 239 is 239

Prime Factorization of 106 is 2 x 53

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(777, 108) = 27972

GCD(777, 108) = ( 777 x 108 ) / 27972

GCD(777, 108) = 83916 / 27972

GCD(777, 108) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 239

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

LCM(3, 239) = 717

GCD(3, 239) = ( 3 x 239 ) / 717

GCD(3, 239) = 717 / 717

GCD(3, 239) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 777, 108, 239, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 929, 825, 454
• GCD of 767, 530, 593, 960
• GCD of 209, 509, 904, 586
• GCD of 214, 642, 501, 204
• GCD of 266, 520, 886, 356

1. What is the GCD of 777, 108, 239, 106?

GCD of 777, 108, 239, 106 is 1

2. Where do I get the detailed procedure to find GCD of 777, 108, 239, 106?

You can find a detailed procedure to find GCD of 777, 108, 239, 106 on our page.

3. How to find GCD of 777, 108, 239, 106 on a calculator?

You can find the GCD of 777, 108, 239, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.