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, 475, 179, 815 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 475, 179, 815 is 1
GCD(680, 475, 179, 815) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 475, 179, 815 is 1
GCD(680, 475, 179, 815) = 1
Given Input numbers are 680, 475, 179, 815
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 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Greatest Common Divisior
We found the divisors of 680, 475, 179, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 475, 179, 815 is 1.
Therefore, GCD of numbers 680, 475, 179, 815 is 1
Given Input Data is 680, 475, 179, 815
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 475 is 5 x 5 x 19
Prime Factorization of 179 is 179
Prime Factorization of 815 is 5 x 163
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, 475) = 64600
GCD(680, 475) = ( 680 x 475 ) / 64600
GCD(680, 475) = 323000 / 64600
GCD(680, 475) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 179) = 895
GCD(5, 179) = ( 5 x 179 ) / 895
GCD(5, 179) = 895 / 895
GCD(5, 179) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 815) = 815
GCD(1, 815) = ( 1 x 815 ) / 815
GCD(1, 815) = 815 / 815
GCD(1, 815) = 1
GCD of 680, 475, 179, 815 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 475, 179, 815?
GCD of 680, 475, 179, 815 is 1
2. Where do I get the detailed procedure to find GCD of 680, 475, 179, 815?
You can find a detailed procedure to find GCD of 680, 475, 179, 815 on our page.
3. How to find GCD of 680, 475, 179, 815 on a calculator?
You can find the GCD of 680, 475, 179, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.