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 104, 625, 81, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 104, 625, 81, 120 is 1
GCD(104, 625, 81, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 625, 81, 120 is 1
GCD(104, 625, 81, 120) = 1
Given Input numbers are 104, 625, 81, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 104, 625, 81, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 625, 81, 120 is 1.
Therefore, GCD of numbers 104, 625, 81, 120 is 1
Given Input Data is 104, 625, 81, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 120 is 2 x 2 x 2 x 3 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(104, 625) = 65000
GCD(104, 625) = ( 104 x 625 ) / 65000
GCD(104, 625) = 65000 / 65000
GCD(104, 625) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 104, 625, 81, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 625, 81, 120?
GCD of 104, 625, 81, 120 is 1
2. Where do I get the detailed procedure to find GCD of 104, 625, 81, 120?
You can find a detailed procedure to find GCD of 104, 625, 81, 120 on our page.
3. How to find GCD of 104, 625, 81, 120 on a calculator?
You can find the GCD of 104, 625, 81, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.