GCD of 15, 218, 340, 466 Calculator

Given Input numbers are 15, 218, 340, 466

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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 15, 218, 340, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 218, 340, 466 is 1.

Therefore, GCD of numbers 15, 218, 340, 466 is 1

Given Input Data is 15, 218, 340, 466

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 218 is 2 x 109

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(15, 218) = 3270

GCD(15, 218) = ( 15 x 218 ) / 3270

GCD(15, 218) = 3270 / 3270

GCD(15, 218) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 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 15, 218, 340, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 121, 317, 718
• GCD of 55, 106, 501, 134
• GCD of 62, 520, 637, 200
• GCD of 50, 214, 225, 739
• GCD of 36, 242, 853, 487

1. What is the GCD of 15, 218, 340, 466?

GCD of 15, 218, 340, 466 is 1

2. Where do I get the detailed procedure to find GCD of 15, 218, 340, 466?

You can find a detailed procedure to find GCD of 15, 218, 340, 466 on our page.

3. How to find GCD of 15, 218, 340, 466 on a calculator?

You can find the GCD of 15, 218, 340, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.