GCD of 102, 393, 820, 856 Calculator

Given Input numbers are 102, 393, 820, 856

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 102, 393, 820, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 393, 820, 856 is 1.

Therefore, GCD of numbers 102, 393, 820, 856 is 1

Given Input Data is 102, 393, 820, 856

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 393 is 3 x 131

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(102, 393) = 13362

GCD(102, 393) = ( 102 x 393 ) / 13362

GCD(102, 393) = 40086 / 13362

GCD(102, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 820

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

LCM(3, 820) = 2460

GCD(3, 820) = ( 3 x 820 ) / 2460

GCD(3, 820) = 2460 / 2460

GCD(3, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 102, 393, 820, 856 is 1

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• GCD of 133, 874, 233, 562
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1. What is the GCD of 102, 393, 820, 856?

GCD of 102, 393, 820, 856 is 1

2. Where do I get the detailed procedure to find GCD of 102, 393, 820, 856?

You can find a detailed procedure to find GCD of 102, 393, 820, 856 on our page.

3. How to find GCD of 102, 393, 820, 856 on a calculator?

You can find the GCD of 102, 393, 820, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.