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 680, 225, 15, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 225, 15, 878 is 1
GCD(680, 225, 15, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 225, 15, 878 is 1
GCD(680, 225, 15, 878) = 1
Given Input numbers are 680, 225, 15, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 680, 225, 15, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 225, 15, 878 is 1.
Therefore, GCD of numbers 680, 225, 15, 878 is 1
Given Input Data is 680, 225, 15, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 15 is 3 x 5
Prime Factorization of 878 is 2 x 439
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(680, 225) = 30600
GCD(680, 225) = ( 680 x 225 ) / 30600
GCD(680, 225) = 153000 / 30600
GCD(680, 225) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 15) = 15
GCD(5, 15) = ( 5 x 15 ) / 15
GCD(5, 15) = 75 / 15
GCD(5, 15) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 878) = 4390
GCD(5, 878) = ( 5 x 878 ) / 4390
GCD(5, 878) = 4390 / 4390
GCD(5, 878) = 1
GCD of 680, 225, 15, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 225, 15, 878?
GCD of 680, 225, 15, 878 is 1
2. Where do I get the detailed procedure to find GCD of 680, 225, 15, 878?
You can find a detailed procedure to find GCD of 680, 225, 15, 878 on our page.
3. How to find GCD of 680, 225, 15, 878 on a calculator?
You can find the GCD of 680, 225, 15, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.