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 621, 420, 13, 192 i.e. 1 largest integer that divides all the numbers equally.
GCD of 621, 420, 13, 192 is 1
GCD(621, 420, 13, 192) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 621, 420, 13, 192 is 1
GCD(621, 420, 13, 192) = 1
Given Input numbers are 621, 420, 13, 192
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
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 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Greatest Common Divisior
We found the divisors of 621, 420, 13, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 621, 420, 13, 192 is 1.
Therefore, GCD of numbers 621, 420, 13, 192 is 1
Given Input Data is 621, 420, 13, 192
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 13 is 13
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
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(621, 420) = 86940
GCD(621, 420) = ( 621 x 420 ) / 86940
GCD(621, 420) = 260820 / 86940
GCD(621, 420) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 13) = 39
GCD(3, 13) = ( 3 x 13 ) / 39
GCD(3, 13) = 39 / 39
GCD(3, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 192
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 192) = 192
GCD(1, 192) = ( 1 x 192 ) / 192
GCD(1, 192) = 192 / 192
GCD(1, 192) = 1
GCD of 621, 420, 13, 192 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 621, 420, 13, 192?
GCD of 621, 420, 13, 192 is 1
2. Where do I get the detailed procedure to find GCD of 621, 420, 13, 192?
You can find a detailed procedure to find GCD of 621, 420, 13, 192 on our page.
3. How to find GCD of 621, 420, 13, 192 on a calculator?
You can find the GCD of 621, 420, 13, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.