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 840, 791, 830 i.e. 1 largest integer that divides all the numbers equally.
GCD of 840, 791, 830 is 1
GCD(840, 791, 830) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 840, 791, 830 is 1
GCD(840, 791, 830) = 1
Given Input numbers are 840, 791, 830
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Greatest Common Divisior
We found the divisors of 840, 791, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 791, 830 is 1.
Therefore, GCD of numbers 840, 791, 830 is 1
Given Input Data is 840, 791, 830
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 791 is 7 x 113
Prime Factorization of 830 is 2 x 5 x 83
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(840, 791) = 94920
GCD(840, 791) = ( 840 x 791 ) / 94920
GCD(840, 791) = 664440 / 94920
GCD(840, 791) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 830
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 830) = 5810
GCD(7, 830) = ( 7 x 830 ) / 5810
GCD(7, 830) = 5810 / 5810
GCD(7, 830) = 1
GCD of 840, 791, 830 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 840, 791, 830?
GCD of 840, 791, 830 is 1
2. Where do I get the detailed procedure to find GCD of 840, 791, 830?
You can find a detailed procedure to find GCD of 840, 791, 830 on our page.
3. How to find GCD of 840, 791, 830 on a calculator?
You can find the GCD of 840, 791, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.