GCD of 84, 114, 170, 321 Calculator

Given Input numbers are 84, 114, 170, 321

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 84, 114, 170, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 114, 170, 321 is 1.

Therefore, GCD of numbers 84, 114, 170, 321 is 1

Given Input Data is 84, 114, 170, 321

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 321 is 3 x 107

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(84, 114) = 1596

GCD(84, 114) = ( 84 x 114 ) / 1596

GCD(84, 114) = 9576 / 1596

GCD(84, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 170

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

LCM(6, 170) = 510

GCD(6, 170) = ( 6 x 170 ) / 510

GCD(6, 170) = 1020 / 510

GCD(6, 170) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

GCD of 84, 114, 170, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 594, 808, 512
• GCD of 83, 150, 217, 720
• GCD of 75, 932, 798, 630
• GCD of 81, 641, 899, 627
• GCD of 67, 937, 382, 475

1. What is the GCD of 84, 114, 170, 321?

GCD of 84, 114, 170, 321 is 1

2. Where do I get the detailed procedure to find GCD of 84, 114, 170, 321?

You can find a detailed procedure to find GCD of 84, 114, 170, 321 on our page.

3. How to find GCD of 84, 114, 170, 321 on a calculator?

You can find the GCD of 84, 114, 170, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.