GCD of 871, 823, 66, 311 Calculator

Given Input numbers are 871, 823, 66, 311

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

Divisors of 871

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

1, 13, 67, 871

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 871, 823, 66, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 823, 66, 311 is 1.

Therefore, GCD of numbers 871, 823, 66, 311 is 1

Given Input Data is 871, 823, 66, 311

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 823 is 823

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 311 is 311

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(871, 823) = 716833

GCD(871, 823) = ( 871 x 823 ) / 716833

GCD(871, 823) = 716833 / 716833

GCD(871, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 871, 823, 66, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 295, 72, 506
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• GCD of 377, 680, 68, 131
• GCD of 860, 392, 85, 212
• GCD of 764, 112, 30, 806

1. What is the GCD of 871, 823, 66, 311?

GCD of 871, 823, 66, 311 is 1

2. Where do I get the detailed procedure to find GCD of 871, 823, 66, 311?

You can find a detailed procedure to find GCD of 871, 823, 66, 311 on our page.

3. How to find GCD of 871, 823, 66, 311 on a calculator?

You can find the GCD of 871, 823, 66, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.