GCD of 372, 309, 954 Calculator
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 372, 309, 954 i.e. 3 largest integer that divides all the numbers equally.
GCD of 372, 309, 954 is 3
GCD(372, 309, 954) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 309, 954 is 3
GCD(372, 309, 954) = 3
GCDof 372,309,954 is 3
Given Input numbers are 372, 309, 954
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
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
Greatest Common Divisior
We found the divisors of 372, 309, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 309, 954 is 3.
Therefore, GCD of numbers 372, 309, 954 is 3
Given Input Data is 372, 309, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 309 is 3 x 103
Prime Factorization of 954 is 2 x 3 x 3 x 53
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 372, 309, 954 using LCM Formula
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(372, 309) = 38316
GCD(372, 309) = ( 372 x 309 ) / 38316
GCD(372, 309) = 114948 / 38316
GCD(372, 309) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 954) = 954
GCD(3, 954) = ( 3 x 954 ) / 954
GCD(3, 954) = 2862 / 954
GCD(3, 954) = 3
GCD of 372, 309, 954 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 372, 309, 954
1. What is the GCD of 372, 309, 954?
GCD of 372, 309, 954 is 3
2. Where do I get the detailed procedure to find GCD of 372, 309, 954?
You can find a detailed procedure to find GCD of 372, 309, 954 on our page.
3. How to find GCD of 372, 309, 954 on a calculator?
You can find the GCD of 372, 309, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.