GCD of 852, 271, 31, 841 Calculator

Given Input numbers are 852, 271, 31, 841

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 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 852, 271, 31, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 271, 31, 841 is 1.

Therefore, GCD of numbers 852, 271, 31, 841 is 1

Given Input Data is 852, 271, 31, 841

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 271 is 271

Prime Factorization of 31 is 31

Prime Factorization of 841 is 29 x 29

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, 271) = 230892

GCD(852, 271) = ( 852 x 271 ) / 230892

GCD(852, 271) = 230892 / 230892

GCD(852, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 852, 271, 31, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 995, 13, 859
• GCD of 994, 169, 17, 202
• GCD of 947, 923, 78, 699
• GCD of 688, 168, 42, 411
• GCD of 116, 346, 33, 973

1. What is the GCD of 852, 271, 31, 841?

GCD of 852, 271, 31, 841 is 1

2. Where do I get the detailed procedure to find GCD of 852, 271, 31, 841?

You can find a detailed procedure to find GCD of 852, 271, 31, 841 on our page.

3. How to find GCD of 852, 271, 31, 841 on a calculator?

You can find the GCD of 852, 271, 31, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.