GCD of 520, 109, 55, 495 Calculator

Given Input numbers are 520, 109, 55, 495

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 55

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

1, 5, 11, 55

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 520, 109, 55, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 109, 55, 495 is 1.

Therefore, GCD of numbers 520, 109, 55, 495 is 1

Given Input Data is 520, 109, 55, 495

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 109 is 109

Prime Factorization of 55 is 5 x 11

Prime Factorization of 495 is 3 x 3 x 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(520, 109) = 56680

GCD(520, 109) = ( 520 x 109 ) / 56680

GCD(520, 109) = 56680 / 56680

GCD(520, 109) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

GCD of 520, 109, 55, 495 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 371, 43, 233
• GCD of 201, 527, 17, 373
• GCD of 888, 155, 22, 936
• GCD of 546, 779, 72, 859
• GCD of 429, 409, 97, 942

1. What is the GCD of 520, 109, 55, 495?

GCD of 520, 109, 55, 495 is 1

2. Where do I get the detailed procedure to find GCD of 520, 109, 55, 495?

You can find a detailed procedure to find GCD of 520, 109, 55, 495 on our page.

3. How to find GCD of 520, 109, 55, 495 on a calculator?

You can find the GCD of 520, 109, 55, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.