GCD of 852, 871, 308, 363 Calculator

Given Input numbers are 852, 871, 308, 363

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 852, 871, 308, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 871, 308, 363 is 1.

Therefore, GCD of numbers 852, 871, 308, 363 is 1

Given Input Data is 852, 871, 308, 363

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 871 is 13 x 67

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 363 is 3 x 11 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(852, 871) = 742092

GCD(852, 871) = ( 852 x 871 ) / 742092

GCD(852, 871) = 742092 / 742092

GCD(852, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 852, 871, 308, 363 is 1

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1. What is the GCD of 852, 871, 308, 363?

GCD of 852, 871, 308, 363 is 1

2. Where do I get the detailed procedure to find GCD of 852, 871, 308, 363?

You can find a detailed procedure to find GCD of 852, 871, 308, 363 on our page.

3. How to find GCD of 852, 871, 308, 363 on a calculator?

You can find the GCD of 852, 871, 308, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.