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 830, 679, 997, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 830, 679, 997, 780 is 1
GCD(830, 679, 997, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 830, 679, 997, 780 is 1
GCD(830, 679, 997, 780) = 1
Given Input numbers are 830, 679, 997, 780
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
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 830, 679, 997, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 679, 997, 780 is 1.
Therefore, GCD of numbers 830, 679, 997, 780 is 1
Given Input Data is 830, 679, 997, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 679 is 7 x 97
Prime Factorization of 997 is 997
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(830, 679) = 563570
GCD(830, 679) = ( 830 x 679 ) / 563570
GCD(830, 679) = 563570 / 563570
GCD(830, 679) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 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 830, 679, 997, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 830, 679, 997, 780?
GCD of 830, 679, 997, 780 is 1
2. Where do I get the detailed procedure to find GCD of 830, 679, 997, 780?
You can find a detailed procedure to find GCD of 830, 679, 997, 780 on our page.
3. How to find GCD of 830, 679, 997, 780 on a calculator?
You can find the GCD of 830, 679, 997, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.