GCD of 820, 610, 99, 346 Calculator

Given Input numbers are 820, 610, 99, 346

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 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 820, 610, 99, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 610, 99, 346 is 1.

Therefore, GCD of numbers 820, 610, 99, 346 is 1

Given Input Data is 820, 610, 99, 346

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 610 is 2 x 5 x 61

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 346 is 2 x 173

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, 610) = 50020

GCD(820, 610) = ( 820 x 610 ) / 50020

GCD(820, 610) = 500200 / 50020

GCD(820, 610) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 99

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

LCM(10, 99) = 990

GCD(10, 99) = ( 10 x 99 ) / 990

GCD(10, 99) = 990 / 990

GCD(10, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 820, 610, 99, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 412, 63, 566
• GCD of 528, 927, 82, 868
• GCD of 706, 850, 52, 788
• GCD of 900, 608, 82, 406
• GCD of 590, 213, 29, 853

1. What is the GCD of 820, 610, 99, 346?

GCD of 820, 610, 99, 346 is 1

2. Where do I get the detailed procedure to find GCD of 820, 610, 99, 346?

You can find a detailed procedure to find GCD of 820, 610, 99, 346 on our page.

3. How to find GCD of 820, 610, 99, 346 on a calculator?

You can find the GCD of 820, 610, 99, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.