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, 283, 429, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 283, 429, 289 is 1
GCD(84, 283, 429, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 283, 429, 289 is 1
GCD(84, 283, 429, 289) = 1
Given Input numbers are 84, 283, 429, 289
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 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 84, 283, 429, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 283, 429, 289 is 1.
Therefore, GCD of numbers 84, 283, 429, 289 is 1
Given Input Data is 84, 283, 429, 289
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 283 is 283
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 289 is 17 x 17
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, 283) = 23772
GCD(84, 283) = ( 84 x 283 ) / 23772
GCD(84, 283) = 23772 / 23772
GCD(84, 283) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
GCD(1, 429) = 429 / 429
GCD(1, 429) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
GCD of 84, 283, 429, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 283, 429, 289?
GCD of 84, 283, 429, 289 is 1
2. Where do I get the detailed procedure to find GCD of 84, 283, 429, 289?
You can find a detailed procedure to find GCD of 84, 283, 429, 289 on our page.
3. How to find GCD of 84, 283, 429, 289 on a calculator?
You can find the GCD of 84, 283, 429, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.