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 339, 282, 280, 842 i.e. 1 largest integer that divides all the numbers equally.
GCD of 339, 282, 280, 842 is 1
GCD(339, 282, 280, 842) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 339, 282, 280, 842 is 1
GCD(339, 282, 280, 842) = 1
Given Input numbers are 339, 282, 280, 842
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Greatest Common Divisior
We found the divisors of 339, 282, 280, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 282, 280, 842 is 1.
Therefore, GCD of numbers 339, 282, 280, 842 is 1
Given Input Data is 339, 282, 280, 842
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 339 is 3 x 113
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 842 is 2 x 421
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(339, 282) = 31866
GCD(339, 282) = ( 339 x 282 ) / 31866
GCD(339, 282) = 95598 / 31866
GCD(339, 282) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 280) = 840
GCD(3, 280) = ( 3 x 280 ) / 840
GCD(3, 280) = 840 / 840
GCD(3, 280) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
GCD of 339, 282, 280, 842 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 339, 282, 280, 842?
GCD of 339, 282, 280, 842 is 1
2. Where do I get the detailed procedure to find GCD of 339, 282, 280, 842?
You can find a detailed procedure to find GCD of 339, 282, 280, 842 on our page.
3. How to find GCD of 339, 282, 280, 842 on a calculator?
You can find the GCD of 339, 282, 280, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.