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 58, 918, 861, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 918, 861, 125 is 1
GCD(58, 918, 861, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 918, 861, 125 is 1
GCD(58, 918, 861, 125) = 1
Given Input numbers are 58, 918, 861, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
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 58, 918, 861, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 918, 861, 125 is 1.
Therefore, GCD of numbers 58, 918, 861, 125 is 1
Given Input Data is 58, 918, 861, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 861 is 3 x 7 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(58, 918) = 26622
GCD(58, 918) = ( 58 x 918 ) / 26622
GCD(58, 918) = 53244 / 26622
GCD(58, 918) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 861) = 1722
GCD(2, 861) = ( 2 x 861 ) / 1722
GCD(2, 861) = 1722 / 1722
GCD(2, 861) = 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 58, 918, 861, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 918, 861, 125?
GCD of 58, 918, 861, 125 is 1
2. Where do I get the detailed procedure to find GCD of 58, 918, 861, 125?
You can find a detailed procedure to find GCD of 58, 918, 861, 125 on our page.
3. How to find GCD of 58, 918, 861, 125 on a calculator?
You can find the GCD of 58, 918, 861, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.