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 609, 954, 72 i.e. 3 largest integer that divides all the numbers equally.
GCD of 609, 954, 72 is 3
GCD(609, 954, 72) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 609, 954, 72 is 3
GCD(609, 954, 72) = 3
Given Input numbers are 609, 954, 72
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Greatest Common Divisior
We found the divisors of 609, 954, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 954, 72 is 3.
Therefore, GCD of numbers 609, 954, 72 is 3
Given Input Data is 609, 954, 72
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(609, 954) = 193662
GCD(609, 954) = ( 609 x 954 ) / 193662
GCD(609, 954) = 580986 / 193662
GCD(609, 954) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
GCD(3, 72) = 216 / 72
GCD(3, 72) = 3
GCD of 609, 954, 72 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 609, 954, 72?
GCD of 609, 954, 72 is 3
2. Where do I get the detailed procedure to find GCD of 609, 954, 72?
You can find a detailed procedure to find GCD of 609, 954, 72 on our page.
3. How to find GCD of 609, 954, 72 on a calculator?
You can find the GCD of 609, 954, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.