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 445, 280, 36, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 445, 280, 36, 113 is 1
GCD(445, 280, 36, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 445, 280, 36, 113 is 1
GCD(445, 280, 36, 113) = 1
Given Input numbers are 445, 280, 36, 113
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 445, 280, 36, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 280, 36, 113 is 1.
Therefore, GCD of numbers 445, 280, 36, 113 is 1
Given Input Data is 445, 280, 36, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 445 is 5 x 89
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 113 is 113
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(445, 280) = 24920
GCD(445, 280) = ( 445 x 280 ) / 24920
GCD(445, 280) = 124600 / 24920
GCD(445, 280) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 36) = 180
GCD(5, 36) = ( 5 x 36 ) / 180
GCD(5, 36) = 180 / 180
GCD(5, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 445, 280, 36, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 445, 280, 36, 113?
GCD of 445, 280, 36, 113 is 1
2. Where do I get the detailed procedure to find GCD of 445, 280, 36, 113?
You can find a detailed procedure to find GCD of 445, 280, 36, 113 on our page.
3. How to find GCD of 445, 280, 36, 113 on a calculator?
You can find the GCD of 445, 280, 36, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.