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, 781, 12, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 781, 12, 279 is 1
GCD(780, 781, 12, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 781, 12, 279 is 1
GCD(780, 781, 12, 279) = 1
Given Input numbers are 780, 781, 12, 279
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 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 780, 781, 12, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 781, 12, 279 is 1.
Therefore, GCD of numbers 780, 781, 12, 279 is 1
Given Input Data is 780, 781, 12, 279
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 781 is 11 x 71
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 279 is 3 x 3 x 31
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, 781) = 609180
GCD(780, 781) = ( 780 x 781 ) / 609180
GCD(780, 781) = 609180 / 609180
GCD(780, 781) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
GCD of 780, 781, 12, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 781, 12, 279?
GCD of 780, 781, 12, 279 is 1
2. Where do I get the detailed procedure to find GCD of 780, 781, 12, 279?
You can find a detailed procedure to find GCD of 780, 781, 12, 279 on our page.
3. How to find GCD of 780, 781, 12, 279 on a calculator?
You can find the GCD of 780, 781, 12, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.