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 80, 830, 878, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 830, 878, 299 is 1
GCD(80, 830, 878, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 830, 878, 299 is 1
GCD(80, 830, 878, 299) = 1
Given Input numbers are 80, 830, 878, 299
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
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 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 80, 830, 878, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 830, 878, 299 is 1.
Therefore, GCD of numbers 80, 830, 878, 299 is 1
Given Input Data is 80, 830, 878, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 878 is 2 x 439
Prime Factorization of 299 is 13 x 23
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(80, 830) = 6640
GCD(80, 830) = ( 80 x 830 ) / 6640
GCD(80, 830) = 66400 / 6640
GCD(80, 830) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 878) = 4390
GCD(10, 878) = ( 10 x 878 ) / 4390
GCD(10, 878) = 8780 / 4390
GCD(10, 878) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 299) = 598
GCD(2, 299) = ( 2 x 299 ) / 598
GCD(2, 299) = 598 / 598
GCD(2, 299) = 1
GCD of 80, 830, 878, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 830, 878, 299?
GCD of 80, 830, 878, 299 is 1
2. Where do I get the detailed procedure to find GCD of 80, 830, 878, 299?
You can find a detailed procedure to find GCD of 80, 830, 878, 299 on our page.
3. How to find GCD of 80, 830, 878, 299 on a calculator?
You can find the GCD of 80, 830, 878, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.