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 940, 550, 13, 227 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 550, 13, 227 is 1
GCD(940, 550, 13, 227) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 550, 13, 227 is 1
GCD(940, 550, 13, 227) = 1
Given Input numbers are 940, 550, 13, 227
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Greatest Common Divisior
We found the divisors of 940, 550, 13, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 550, 13, 227 is 1.
Therefore, GCD of numbers 940, 550, 13, 227 is 1
Given Input Data is 940, 550, 13, 227
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 13 is 13
Prime Factorization of 227 is 227
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(940, 550) = 51700
GCD(940, 550) = ( 940 x 550 ) / 51700
GCD(940, 550) = 517000 / 51700
GCD(940, 550) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 13) = 130
GCD(10, 13) = ( 10 x 13 ) / 130
GCD(10, 13) = 130 / 130
GCD(10, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 227) = 227
GCD(1, 227) = ( 1 x 227 ) / 227
GCD(1, 227) = 227 / 227
GCD(1, 227) = 1
GCD of 940, 550, 13, 227 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 550, 13, 227?
GCD of 940, 550, 13, 227 is 1
2. Where do I get the detailed procedure to find GCD of 940, 550, 13, 227?
You can find a detailed procedure to find GCD of 940, 550, 13, 227 on our page.
3. How to find GCD of 940, 550, 13, 227 on a calculator?
You can find the GCD of 940, 550, 13, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.