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, 421, 99, 483 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 421, 99, 483 is 1
GCD(420, 421, 99, 483) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 421, 99, 483 is 1
GCD(420, 421, 99, 483) = 1
Given Input numbers are 420, 421, 99, 483
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 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Greatest Common Divisior
We found the divisors of 420, 421, 99, 483 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 421, 99, 483 is 1.
Therefore, GCD of numbers 420, 421, 99, 483 is 1
Given Input Data is 420, 421, 99, 483
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 421 is 421
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 483 is 3 x 7 x 23
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, 421) = 176820
GCD(420, 421) = ( 420 x 421 ) / 176820
GCD(420, 421) = 176820 / 176820
GCD(420, 421) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 483
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 483) = 483
GCD(1, 483) = ( 1 x 483 ) / 483
GCD(1, 483) = 483 / 483
GCD(1, 483) = 1
GCD of 420, 421, 99, 483 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 421, 99, 483?
GCD of 420, 421, 99, 483 is 1
2. Where do I get the detailed procedure to find GCD of 420, 421, 99, 483?
You can find a detailed procedure to find GCD of 420, 421, 99, 483 on our page.
3. How to find GCD of 420, 421, 99, 483 on a calculator?
You can find the GCD of 420, 421, 99, 483 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.