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 878, 699, 109, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 878, 699, 109, 469 is 1
GCD(878, 699, 109, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 878, 699, 109, 469 is 1
GCD(878, 699, 109, 469) = 1
Given Input numbers are 878, 699, 109, 469
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 878, 699, 109, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 699, 109, 469 is 1.
Therefore, GCD of numbers 878, 699, 109, 469 is 1
Given Input Data is 878, 699, 109, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 878 is 2 x 439
Prime Factorization of 699 is 3 x 233
Prime Factorization of 109 is 109
Prime Factorization of 469 is 7 x 67
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(878, 699) = 613722
GCD(878, 699) = ( 878 x 699 ) / 613722
GCD(878, 699) = 613722 / 613722
GCD(878, 699) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
GCD of 878, 699, 109, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 878, 699, 109, 469?
GCD of 878, 699, 109, 469 is 1
2. Where do I get the detailed procedure to find GCD of 878, 699, 109, 469?
You can find a detailed procedure to find GCD of 878, 699, 109, 469 on our page.
3. How to find GCD of 878, 699, 109, 469 on a calculator?
You can find the GCD of 878, 699, 109, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.