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 437, 909, 69 i.e. 1 largest integer that divides all the numbers equally.
GCD of 437, 909, 69 is 1
GCD(437, 909, 69) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 437, 909, 69 is 1
GCD(437, 909, 69) = 1
Given Input numbers are 437, 909, 69
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Greatest Common Divisior
We found the divisors of 437, 909, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 909, 69 is 1.
Therefore, GCD of numbers 437, 909, 69 is 1
Given Input Data is 437, 909, 69
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 437 is 19 x 23
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 69 is 3 x 23
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(437, 909) = 397233
GCD(437, 909) = ( 437 x 909 ) / 397233
GCD(437, 909) = 397233 / 397233
GCD(437, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
GCD of 437, 909, 69 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 437, 909, 69?
GCD of 437, 909, 69 is 1
2. Where do I get the detailed procedure to find GCD of 437, 909, 69?
You can find a detailed procedure to find GCD of 437, 909, 69 on our page.
3. How to find GCD of 437, 909, 69 on a calculator?
You can find the GCD of 437, 909, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.