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 630, 420, 13, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 630, 420, 13, 368 is 1
GCD(630, 420, 13, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 630, 420, 13, 368 is 1
GCD(630, 420, 13, 368) = 1
Given Input numbers are 630, 420, 13, 368
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
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 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 630, 420, 13, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 420, 13, 368 is 1.
Therefore, GCD of numbers 630, 420, 13, 368 is 1
Given Input Data is 630, 420, 13, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 13 is 13
Prime Factorization of 368 is 2 x 2 x 2 x 2 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(630, 420) = 1260
GCD(630, 420) = ( 630 x 420 ) / 1260
GCD(630, 420) = 264600 / 1260
GCD(630, 420) = 210
Step2:
Here we consider the GCD from the above i.e. 210 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(210, 13) = 2730
GCD(210, 13) = ( 210 x 13 ) / 2730
GCD(210, 13) = 2730 / 2730
GCD(210, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 630, 420, 13, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 630, 420, 13, 368?
GCD of 630, 420, 13, 368 is 1
2. Where do I get the detailed procedure to find GCD of 630, 420, 13, 368?
You can find a detailed procedure to find GCD of 630, 420, 13, 368 on our page.
3. How to find GCD of 630, 420, 13, 368 on a calculator?
You can find the GCD of 630, 420, 13, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.