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 945, 226, 39 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 226, 39 is 1
GCD(945, 226, 39) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 226, 39 is 1
GCD(945, 226, 39) = 1
Given Input numbers are 945, 226, 39
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Greatest Common Divisior
We found the divisors of 945, 226, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 226, 39 is 1.
Therefore, GCD of numbers 945, 226, 39 is 1
Given Input Data is 945, 226, 39
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 226 is 2 x 113
Prime Factorization of 39 is 3 x 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(945, 226) = 213570
GCD(945, 226) = ( 945 x 226 ) / 213570
GCD(945, 226) = 213570 / 213570
GCD(945, 226) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
GCD of 945, 226, 39 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 226, 39?
GCD of 945, 226, 39 is 1
2. Where do I get the detailed procedure to find GCD of 945, 226, 39?
You can find a detailed procedure to find GCD of 945, 226, 39 on our page.
3. How to find GCD of 945, 226, 39 on a calculator?
You can find the GCD of 945, 226, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.