GCD of 820, 255, 48, 109 Calculator

Given Input numbers are 820, 255, 48, 109

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 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 109

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

1, 109

Greatest Common Divisior

We found the divisors of 820, 255, 48, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 255, 48, 109 is 1.

Therefore, GCD of numbers 820, 255, 48, 109 is 1

Given Input Data is 820, 255, 48, 109

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 255 is 3 x 5 x 17

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 109 is 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(820, 255) = 41820

GCD(820, 255) = ( 820 x 255 ) / 41820

GCD(820, 255) = 209100 / 41820

GCD(820, 255) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 48

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

LCM(5, 48) = 240

GCD(5, 48) = ( 5 x 48 ) / 240

GCD(5, 48) = 240 / 240

GCD(5, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 820, 255, 48, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 551, 61, 898
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• GCD of 281, 550, 40, 349
• GCD of 353, 831, 26, 700
• GCD of 327, 242, 50, 923

1. What is the GCD of 820, 255, 48, 109?

GCD of 820, 255, 48, 109 is 1

2. Where do I get the detailed procedure to find GCD of 820, 255, 48, 109?

You can find a detailed procedure to find GCD of 820, 255, 48, 109 on our page.

3. How to find GCD of 820, 255, 48, 109 on a calculator?

You can find the GCD of 820, 255, 48, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.