GCD of 819, 920, 55 Calculator

Given Input numbers are 819, 920, 55

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Greatest Common Divisior

We found the divisors of 819, 920, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 920, 55 is 1.

Therefore, GCD of numbers 819, 920, 55 is 1

Given Input Data is 819, 920, 55

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 55 is 5 x 11

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(819, 920) = 753480

GCD(819, 920) = ( 819 x 920 ) / 753480

GCD(819, 920) = 753480 / 753480

GCD(819, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

GCD of 819, 920, 55 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 911, 75
• GCD of 991, 935, 99
• GCD of 310, 737, 32
• GCD of 778, 533, 20
• GCD of 112, 827, 34

1. What is the GCD of 819, 920, 55?

GCD of 819, 920, 55 is 1

2. Where do I get the detailed procedure to find GCD of 819, 920, 55?

You can find a detailed procedure to find GCD of 819, 920, 55 on our page.

3. How to find GCD of 819, 920, 55 on a calculator?

You can find the GCD of 819, 920, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.