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 118, 402, 50, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 402, 50, 405 is 1
GCD(118, 402, 50, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 402, 50, 405 is 1
GCD(118, 402, 50, 405) = 1
Given Input numbers are 118, 402, 50, 405
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
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 118, 402, 50, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 402, 50, 405 is 1.
Therefore, GCD of numbers 118, 402, 50, 405 is 1
Given Input Data is 118, 402, 50, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 50 is 2 x 5 x 5
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(118, 402) = 23718
GCD(118, 402) = ( 118 x 402 ) / 23718
GCD(118, 402) = 47436 / 23718
GCD(118, 402) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
GCD(2, 50) = 100 / 50
GCD(2, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 405) = 810
GCD(2, 405) = ( 2 x 405 ) / 810
GCD(2, 405) = 810 / 810
GCD(2, 405) = 1
GCD of 118, 402, 50, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 402, 50, 405?
GCD of 118, 402, 50, 405 is 1
2. Where do I get the detailed procedure to find GCD of 118, 402, 50, 405?
You can find a detailed procedure to find GCD of 118, 402, 50, 405 on our page.
3. How to find GCD of 118, 402, 50, 405 on a calculator?
You can find the GCD of 118, 402, 50, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.