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 120, 877, 41, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 120, 877, 41, 405 is 1
GCD(120, 877, 41, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 877, 41, 405 is 1
GCD(120, 877, 41, 405) = 1
Given Input numbers are 120, 877, 41, 405
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 120, 877, 41, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 877, 41, 405 is 1.
Therefore, GCD of numbers 120, 877, 41, 405 is 1
Given Input Data is 120, 877, 41, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 877 is 877
Prime Factorization of 41 is 41
Prime Factorization of 405 is 3 x 3 x 3 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(120, 877) = 105240
GCD(120, 877) = ( 120 x 877 ) / 105240
GCD(120, 877) = 105240 / 105240
GCD(120, 877) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
GCD of 120, 877, 41, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 877, 41, 405?
GCD of 120, 877, 41, 405 is 1
2. Where do I get the detailed procedure to find GCD of 120, 877, 41, 405?
You can find a detailed procedure to find GCD of 120, 877, 41, 405 on our page.
3. How to find GCD of 120, 877, 41, 405 on a calculator?
You can find the GCD of 120, 877, 41, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.