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 45, 59, 50, 13 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 59, 50, 13 is 1
GCD(45, 59, 50, 13) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 59, 50, 13 is 1
GCD(45, 59, 50, 13) = 1
Given Input numbers are 45, 59, 50, 13
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Greatest Common Divisior
We found the divisors of 45, 59, 50, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 59, 50, 13 is 1.
Therefore, GCD of numbers 45, 59, 50, 13 is 1
Given Input Data is 45, 59, 50, 13
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 59 is 59
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 13 is 13
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(45, 59) = 2655
GCD(45, 59) = ( 45 x 59 ) / 2655
GCD(45, 59) = 2655 / 2655
GCD(45, 59) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
GCD(1, 50) = 50 / 50
GCD(1, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
GCD of 45, 59, 50, 13 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 59, 50, 13?
GCD of 45, 59, 50, 13 is 1
2. Where do I get the detailed procedure to find GCD of 45, 59, 50, 13?
You can find a detailed procedure to find GCD of 45, 59, 50, 13 on our page.
3. How to find GCD of 45, 59, 50, 13 on a calculator?
You can find the GCD of 45, 59, 50, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.