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 461, 187, 82, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 461, 187, 82, 125 is 1
GCD(461, 187, 82, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 461, 187, 82, 125 is 1
GCD(461, 187, 82, 125) = 1
Given Input numbers are 461, 187, 82, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 461, 187, 82, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 187, 82, 125 is 1.
Therefore, GCD of numbers 461, 187, 82, 125 is 1
Given Input Data is 461, 187, 82, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 461 is 461
Prime Factorization of 187 is 11 x 17
Prime Factorization of 82 is 2 x 41
Prime Factorization of 125 is 5 x 5 x 5
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(461, 187) = 86207
GCD(461, 187) = ( 461 x 187 ) / 86207
GCD(461, 187) = 86207 / 86207
GCD(461, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 461, 187, 82, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 461, 187, 82, 125?
GCD of 461, 187, 82, 125 is 1
2. Where do I get the detailed procedure to find GCD of 461, 187, 82, 125?
You can find a detailed procedure to find GCD of 461, 187, 82, 125 on our page.
3. How to find GCD of 461, 187, 82, 125 on a calculator?
You can find the GCD of 461, 187, 82, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.