GCD of 311, 400, 526, 466 Calculator

Given Input numbers are 311, 400, 526, 466

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

Divisors of 311

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

1, 311

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 311, 400, 526, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 400, 526, 466 is 1.

Therefore, GCD of numbers 311, 400, 526, 466 is 1

Given Input Data is 311, 400, 526, 466

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

Prime Factorization of 311 is 311

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 526 is 2 x 263

Prime Factorization of 466 is 2 x 233

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(311, 400) = 124400

GCD(311, 400) = ( 311 x 400 ) / 124400

GCD(311, 400) = 124400 / 124400

GCD(311, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 311, 400, 526, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 325, 937, 583
• GCD of 458, 246, 449, 889
• GCD of 416, 526, 235, 239
• GCD of 360, 604, 683, 951
• GCD of 741, 421, 161, 839

1. What is the GCD of 311, 400, 526, 466?

GCD of 311, 400, 526, 466 is 1

2. Where do I get the detailed procedure to find GCD of 311, 400, 526, 466?

You can find a detailed procedure to find GCD of 311, 400, 526, 466 on our page.

3. How to find GCD of 311, 400, 526, 466 on a calculator?

You can find the GCD of 311, 400, 526, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.