GCD of 820, 204, 45, 260 Calculator

Given Input numbers are 820, 204, 45, 260

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 820, 204, 45, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 204, 45, 260 is 1.

Therefore, GCD of numbers 820, 204, 45, 260 is 1

Given Input Data is 820, 204, 45, 260

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(820, 204) = 41820

GCD(820, 204) = ( 820 x 204 ) / 41820

GCD(820, 204) = 167280 / 41820

GCD(820, 204) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 45

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

LCM(4, 45) = 180

GCD(4, 45) = ( 4 x 45 ) / 180

GCD(4, 45) = 180 / 180

GCD(4, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 820, 204, 45, 260 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 963, 99, 456
• GCD of 244, 914, 15, 419
• GCD of 172, 668, 44, 226
• GCD of 888, 791, 88, 320
• GCD of 825, 891, 88, 920

1. What is the GCD of 820, 204, 45, 260?

GCD of 820, 204, 45, 260 is 1

2. Where do I get the detailed procedure to find GCD of 820, 204, 45, 260?

You can find a detailed procedure to find GCD of 820, 204, 45, 260 on our page.

3. How to find GCD of 820, 204, 45, 260 on a calculator?

You can find the GCD of 820, 204, 45, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.