GCD of 345, 387, 830, 216 Calculator

Given Input numbers are 345, 387, 830, 216

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 345, 387, 830, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 387, 830, 216 is 1.

Therefore, GCD of numbers 345, 387, 830, 216 is 1

Given Input Data is 345, 387, 830, 216

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(345, 387) = 44505

GCD(345, 387) = ( 345 x 387 ) / 44505

GCD(345, 387) = 133515 / 44505

GCD(345, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 830

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

LCM(3, 830) = 2490

GCD(3, 830) = ( 3 x 830 ) / 2490

GCD(3, 830) = 2490 / 2490

GCD(3, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 345, 387, 830, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 405, 316, 873
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• GCD of 965, 181, 826, 347

1. What is the GCD of 345, 387, 830, 216?

GCD of 345, 387, 830, 216 is 1

2. Where do I get the detailed procedure to find GCD of 345, 387, 830, 216?

You can find a detailed procedure to find GCD of 345, 387, 830, 216 on our page.

3. How to find GCD of 345, 387, 830, 216 on a calculator?

You can find the GCD of 345, 387, 830, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.