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 493, 189, 780, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 493, 189, 780, 200 is 1
GCD(493, 189, 780, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 493, 189, 780, 200 is 1
GCD(493, 189, 780, 200) = 1
Given Input numbers are 493, 189, 780, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Greatest Common Divisior
We found the divisors of 493, 189, 780, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 189, 780, 200 is 1.
Therefore, GCD of numbers 493, 189, 780, 200 is 1
Given Input Data is 493, 189, 780, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 493 is 17 x 29
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
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(493, 189) = 93177
GCD(493, 189) = ( 493 x 189 ) / 93177
GCD(493, 189) = 93177 / 93177
GCD(493, 189) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 493, 189, 780, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 493, 189, 780, 200?
GCD of 493, 189, 780, 200 is 1
2. Where do I get the detailed procedure to find GCD of 493, 189, 780, 200?
You can find a detailed procedure to find GCD of 493, 189, 780, 200 on our page.
3. How to find GCD of 493, 189, 780, 200 on a calculator?
You can find the GCD of 493, 189, 780, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.