GCD of 777, 100, 99, 909 Calculator

Given Input numbers are 777, 100, 99, 909

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 777, 100, 99, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 100, 99, 909 is 1.

Therefore, GCD of numbers 777, 100, 99, 909 is 1

Given Input Data is 777, 100, 99, 909

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 100 is 2 x 2 x 5 x 5

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 909 is 3 x 3 x 101

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, 100) = 77700

GCD(777, 100) = ( 777 x 100 ) / 77700

GCD(777, 100) = 77700 / 77700

GCD(777, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 777, 100, 99, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 649, 69, 991
• GCD of 802, 744, 38, 273
• GCD of 907, 465, 64, 522
• GCD of 595, 363, 98, 950
• GCD of 715, 858, 63, 241

1. What is the GCD of 777, 100, 99, 909?

GCD of 777, 100, 99, 909 is 1

2. Where do I get the detailed procedure to find GCD of 777, 100, 99, 909?

You can find a detailed procedure to find GCD of 777, 100, 99, 909 on our page.

3. How to find GCD of 777, 100, 99, 909 on a calculator?

You can find the GCD of 777, 100, 99, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.