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 780, 510, 163, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 510, 163, 396 is 1
GCD(780, 510, 163, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 510, 163, 396 is 1
GCD(780, 510, 163, 396) = 1
Given Input numbers are 780, 510, 163, 396
To find the GCD of numbers using factoring list out all the divisors of each number
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 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 780, 510, 163, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 510, 163, 396 is 1.
Therefore, GCD of numbers 780, 510, 163, 396 is 1
Given Input Data is 780, 510, 163, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 163 is 163
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(780, 510) = 13260
GCD(780, 510) = ( 780 x 510 ) / 13260
GCD(780, 510) = 397800 / 13260
GCD(780, 510) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 163) = 4890
GCD(30, 163) = ( 30 x 163 ) / 4890
GCD(30, 163) = 4890 / 4890
GCD(30, 163) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 780, 510, 163, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 510, 163, 396?
GCD of 780, 510, 163, 396 is 1
2. Where do I get the detailed procedure to find GCD of 780, 510, 163, 396?
You can find a detailed procedure to find GCD of 780, 510, 163, 396 on our page.
3. How to find GCD of 780, 510, 163, 396 on a calculator?
You can find the GCD of 780, 510, 163, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.