GCD of 31, 134, 894, 463 Calculator

Given Input numbers are 31, 134, 894, 463

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

Divisors of 31

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

1, 31

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 31, 134, 894, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 134, 894, 463 is 1.

Therefore, GCD of numbers 31, 134, 894, 463 is 1

Given Input Data is 31, 134, 894, 463

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

Prime Factorization of 31 is 31

Prime Factorization of 134 is 2 x 67

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 463 is 463

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(31, 134) = 4154

GCD(31, 134) = ( 31 x 134 ) / 4154

GCD(31, 134) = 4154 / 4154

GCD(31, 134) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 31, 134, 894, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 161, 433, 741
• GCD of 33, 450, 499, 579
• GCD of 51, 508, 283, 954
• GCD of 65, 526, 365, 223
• GCD of 25, 183, 130, 915

1. What is the GCD of 31, 134, 894, 463?

GCD of 31, 134, 894, 463 is 1

2. Where do I get the detailed procedure to find GCD of 31, 134, 894, 463?

You can find a detailed procedure to find GCD of 31, 134, 894, 463 on our page.

3. How to find GCD of 31, 134, 894, 463 on a calculator?

You can find the GCD of 31, 134, 894, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.