GCD of 909, 755, 791, 218 Calculator

Given Input numbers are 909, 755, 791, 218

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

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 909, 755, 791, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 755, 791, 218 is 1.

Therefore, GCD of numbers 909, 755, 791, 218 is 1

Given Input Data is 909, 755, 791, 218

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 755 is 5 x 151

Prime Factorization of 791 is 7 x 113

Prime Factorization of 218 is 2 x 109

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(909, 755) = 686295

GCD(909, 755) = ( 909 x 755 ) / 686295

GCD(909, 755) = 686295 / 686295

GCD(909, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 909, 755, 791, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 121, 279, 182
• GCD of 774, 511, 922, 194
• GCD of 621, 915, 743, 757
• GCD of 296, 225, 824, 100
• GCD of 605, 325, 630, 998

1. What is the GCD of 909, 755, 791, 218?

GCD of 909, 755, 791, 218 is 1

2. Where do I get the detailed procedure to find GCD of 909, 755, 791, 218?

You can find a detailed procedure to find GCD of 909, 755, 791, 218 on our page.

3. How to find GCD of 909, 755, 791, 218 on a calculator?

You can find the GCD of 909, 755, 791, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.