GCD of 54, 213, 463, 698 Calculator

Given Input numbers are 54, 213, 463, 698

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 213

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

1, 3, 71, 213

Divisors of 463

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

1, 463

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 54, 213, 463, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 213, 463, 698 is 1.

Therefore, GCD of numbers 54, 213, 463, 698 is 1

Given Input Data is 54, 213, 463, 698

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 213 is 3 x 71

Prime Factorization of 463 is 463

Prime Factorization of 698 is 2 x 349

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, 213) = 3834

GCD(54, 213) = ( 54 x 213 ) / 3834

GCD(54, 213) = 11502 / 3834

GCD(54, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 463

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

LCM(3, 463) = 1389

GCD(3, 463) = ( 3 x 463 ) / 1389

GCD(3, 463) = 1389 / 1389

GCD(3, 463) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 54, 213, 463, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 449, 984, 179
• GCD of 98, 199, 126, 541
• GCD of 53, 495, 699, 925
• GCD of 28, 526, 753, 408
• GCD of 50, 672, 203, 248

1. What is the GCD of 54, 213, 463, 698?

GCD of 54, 213, 463, 698 is 1

2. Where do I get the detailed procedure to find GCD of 54, 213, 463, 698?

You can find a detailed procedure to find GCD of 54, 213, 463, 698 on our page.

3. How to find GCD of 54, 213, 463, 698 on a calculator?

You can find the GCD of 54, 213, 463, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.