GCD of 54, 422, 526, 213 Calculator

Given Input numbers are 54, 422, 526, 213

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 526

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

1, 2, 263, 526

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 54, 422, 526, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 422, 526, 213 is 1.

Therefore, GCD of numbers 54, 422, 526, 213 is 1

Given Input Data is 54, 422, 526, 213

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 422 is 2 x 211

Prime Factorization of 526 is 2 x 263

Prime Factorization of 213 is 3 x 71

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(54, 422) = 11394

GCD(54, 422) = ( 54 x 422 ) / 11394

GCD(54, 422) = 22788 / 11394

GCD(54, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 526

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

LCM(2, 526) = 526

GCD(2, 526) = ( 2 x 526 ) / 526

GCD(2, 526) = 1052 / 526

GCD(2, 526) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

GCD of 54, 422, 526, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 326, 144, 854
• GCD of 54, 721, 985, 272
• GCD of 49, 165, 327, 971
• GCD of 80, 476, 309, 404
• GCD of 66, 575, 344, 764

1. What is the GCD of 54, 422, 526, 213?

GCD of 54, 422, 526, 213 is 1

2. Where do I get the detailed procedure to find GCD of 54, 422, 526, 213?

You can find a detailed procedure to find GCD of 54, 422, 526, 213 on our page.

3. How to find GCD of 54, 422, 526, 213 on a calculator?

You can find the GCD of 54, 422, 526, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.