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 19, 518, 197, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 19, 518, 197, 920 is 1
GCD(19, 518, 197, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 19, 518, 197, 920 is 1
GCD(19, 518, 197, 920) = 1
Given Input numbers are 19, 518, 197, 920
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 19, 518, 197, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 518, 197, 920 is 1.
Therefore, GCD of numbers 19, 518, 197, 920 is 1
Given Input Data is 19, 518, 197, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 19 is 19
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 197 is 197
Prime Factorization of 920 is 2 x 2 x 2 x 5 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(19, 518) = 9842
GCD(19, 518) = ( 19 x 518 ) / 9842
GCD(19, 518) = 9842 / 9842
GCD(19, 518) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
GCD(1, 197) = 197 / 197
GCD(1, 197) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 19, 518, 197, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 19, 518, 197, 920?
GCD of 19, 518, 197, 920 is 1
2. Where do I get the detailed procedure to find GCD of 19, 518, 197, 920?
You can find a detailed procedure to find GCD of 19, 518, 197, 920 on our page.
3. How to find GCD of 19, 518, 197, 920 on a calculator?
You can find the GCD of 19, 518, 197, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.