Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 84, 114, 170, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 114, 170, 321 is 1
GCD(84, 114, 170, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 114, 170, 321 is 1
GCD(84, 114, 170, 321) = 1
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.
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.