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 483, 614, 106, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 483, 614, 106, 421 is 1
GCD(483, 614, 106, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 483, 614, 106, 421 is 1
GCD(483, 614, 106, 421) = 1
Given Input numbers are 483, 614, 106, 421
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 483, 614, 106, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 614, 106, 421 is 1.
Therefore, GCD of numbers 483, 614, 106, 421 is 1
Given Input Data is 483, 614, 106, 421
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 614 is 2 x 307
Prime Factorization of 106 is 2 x 53
Prime Factorization of 421 is 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(483, 614) = 296562
GCD(483, 614) = ( 483 x 614 ) / 296562
GCD(483, 614) = 296562 / 296562
GCD(483, 614) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
GCD of 483, 614, 106, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 483, 614, 106, 421?
GCD of 483, 614, 106, 421 is 1
2. Where do I get the detailed procedure to find GCD of 483, 614, 106, 421?
You can find a detailed procedure to find GCD of 483, 614, 106, 421 on our page.
3. How to find GCD of 483, 614, 106, 421 on a calculator?
You can find the GCD of 483, 614, 106, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.