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 713, 318, 761, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 713, 318, 761, 780 is 1
GCD(713, 318, 761, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 713, 318, 761, 780 is 1
GCD(713, 318, 761, 780) = 1
Given Input numbers are 713, 318, 761, 780
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
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
Greatest Common Divisior
We found the divisors of 713, 318, 761, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 318, 761, 780 is 1.
Therefore, GCD of numbers 713, 318, 761, 780 is 1
Given Input Data is 713, 318, 761, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 713 is 23 x 31
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 761 is 761
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
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(713, 318) = 226734
GCD(713, 318) = ( 713 x 318 ) / 226734
GCD(713, 318) = 226734 / 226734
GCD(713, 318) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 761) = 761
GCD(1, 761) = ( 1 x 761 ) / 761
GCD(1, 761) = 761 / 761
GCD(1, 761) = 1
Step3:
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
GCD of 713, 318, 761, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 713, 318, 761, 780?
GCD of 713, 318, 761, 780 is 1
2. Where do I get the detailed procedure to find GCD of 713, 318, 761, 780?
You can find a detailed procedure to find GCD of 713, 318, 761, 780 on our page.
3. How to find GCD of 713, 318, 761, 780 on a calculator?
You can find the GCD of 713, 318, 761, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.