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 125, 230, 680, 860 i.e. 5 largest integer that divides all the numbers equally.
GCD of 125, 230, 680, 860 is 5
GCD(125, 230, 680, 860) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 125, 230, 680, 860 is 5
GCD(125, 230, 680, 860) = 5
Given Input numbers are 125, 230, 680, 860
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
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 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Greatest Common Divisior
We found the divisors of 125, 230, 680, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 230, 680, 860 is 5.
Therefore, GCD of numbers 125, 230, 680, 860 is 5
Given Input Data is 125, 230, 680, 860
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 860 is 2 x 2 x 5 x 43
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(125, 230) = 5750
GCD(125, 230) = ( 125 x 230 ) / 5750
GCD(125, 230) = 28750 / 5750
GCD(125, 230) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 680) = 680
GCD(5, 680) = ( 5 x 680 ) / 680
GCD(5, 680) = 3400 / 680
GCD(5, 680) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 860) = 860
GCD(5, 860) = ( 5 x 860 ) / 860
GCD(5, 860) = 4300 / 860
GCD(5, 860) = 5
GCD of 125, 230, 680, 860 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 125, 230, 680, 860?
GCD of 125, 230, 680, 860 is 5
2. Where do I get the detailed procedure to find GCD of 125, 230, 680, 860?
You can find a detailed procedure to find GCD of 125, 230, 680, 860 on our page.
3. How to find GCD of 125, 230, 680, 860 on a calculator?
You can find the GCD of 125, 230, 680, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.