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 420, 854, 301, 999 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 854, 301, 999 is 1
GCD(420, 854, 301, 999) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 854, 301, 999 is 1
GCD(420, 854, 301, 999) = 1
Given Input numbers are 420, 854, 301, 999
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Greatest Common Divisior
We found the divisors of 420, 854, 301, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 854, 301, 999 is 1.
Therefore, GCD of numbers 420, 854, 301, 999 is 1
Given Input Data is 420, 854, 301, 999
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 301 is 7 x 43
Prime Factorization of 999 is 3 x 3 x 3 x 37
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(420, 854) = 25620
GCD(420, 854) = ( 420 x 854 ) / 25620
GCD(420, 854) = 358680 / 25620
GCD(420, 854) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 301) = 602
GCD(14, 301) = ( 14 x 301 ) / 602
GCD(14, 301) = 4214 / 602
GCD(14, 301) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 999) = 6993
GCD(7, 999) = ( 7 x 999 ) / 6993
GCD(7, 999) = 6993 / 6993
GCD(7, 999) = 1
GCD of 420, 854, 301, 999 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 854, 301, 999?
GCD of 420, 854, 301, 999 is 1
2. Where do I get the detailed procedure to find GCD of 420, 854, 301, 999?
You can find a detailed procedure to find GCD of 420, 854, 301, 999 on our page.
3. How to find GCD of 420, 854, 301, 999 on a calculator?
You can find the GCD of 420, 854, 301, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.