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, 461, 395, 616 i.e. 1 largest integer that divides all the numbers equally.
GCD of 830, 461, 395, 616 is 1
GCD(830, 461, 395, 616) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 830, 461, 395, 616 is 1
GCD(830, 461, 395, 616) = 1
Given Input numbers are 830, 461, 395, 616
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 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Greatest Common Divisior
We found the divisors of 830, 461, 395, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 461, 395, 616 is 1.
Therefore, GCD of numbers 830, 461, 395, 616 is 1
Given Input Data is 830, 461, 395, 616
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 461 is 461
Prime Factorization of 395 is 5 x 79
Prime Factorization of 616 is 2 x 2 x 2 x 7 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(830, 461) = 382630
GCD(830, 461) = ( 830 x 461 ) / 382630
GCD(830, 461) = 382630 / 382630
GCD(830, 461) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
GCD of 830, 461, 395, 616 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 830, 461, 395, 616?
GCD of 830, 461, 395, 616 is 1
2. Where do I get the detailed procedure to find GCD of 830, 461, 395, 616?
You can find a detailed procedure to find GCD of 830, 461, 395, 616 on our page.
3. How to find GCD of 830, 461, 395, 616 on a calculator?
You can find the GCD of 830, 461, 395, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.