GCD of 774, 871, 47, 234 Calculator

Given Input numbers are 774, 871, 47, 234

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 871

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

1, 13, 67, 871

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 774, 871, 47, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 871, 47, 234 is 1.

Therefore, GCD of numbers 774, 871, 47, 234 is 1

Given Input Data is 774, 871, 47, 234

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 871 is 13 x 67

Prime Factorization of 47 is 47

Prime Factorization of 234 is 2 x 3 x 3 x 13

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(774, 871) = 674154

GCD(774, 871) = ( 774 x 871 ) / 674154

GCD(774, 871) = 674154 / 674154

GCD(774, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 774, 871, 47, 234 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 233, 32, 646
• GCD of 903, 302, 88, 878
• GCD of 764, 358, 55, 746
• GCD of 455, 695, 37, 992
• GCD of 874, 205, 52, 946

1. What is the GCD of 774, 871, 47, 234?

GCD of 774, 871, 47, 234 is 1

2. Where do I get the detailed procedure to find GCD of 774, 871, 47, 234?

You can find a detailed procedure to find GCD of 774, 871, 47, 234 on our page.

3. How to find GCD of 774, 871, 47, 234 on a calculator?

You can find the GCD of 774, 871, 47, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.