GCD of 324, 603, 348 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 324, 603, 348 i.e. 3 largest integer that divides all the numbers equally.
GCD of 324, 603, 348 is 3
GCD(324, 603, 348) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 603, 348 is 3
GCD(324, 603, 348) = 3
GCDof 324,603,348 is 3
Given Input numbers are 324, 603, 348
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Greatest Common Divisior
We found the divisors of 324, 603, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 603, 348 is 3.
Therefore, GCD of numbers 324, 603, 348 is 3
Given Input Data is 324, 603, 348
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 603 is 3 x 3 x 67
Prime Factorization of 348 is 2 x 2 x 3 x 29
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 324, 603, 348 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(324, 603) = 21708
GCD(324, 603) = ( 324 x 603 ) / 21708
GCD(324, 603) = 195372 / 21708
GCD(324, 603) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 348) = 1044
GCD(9, 348) = ( 9 x 348 ) / 1044
GCD(9, 348) = 3132 / 1044
GCD(9, 348) = 3
GCD of 324, 603, 348 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 324, 603, 348
1. What is the GCD of 324, 603, 348?
GCD of 324, 603, 348 is 3
2. Where do I get the detailed procedure to find GCD of 324, 603, 348?
You can find a detailed procedure to find GCD of 324, 603, 348 on our page.
3. How to find GCD of 324, 603, 348 on a calculator?
You can find the GCD of 324, 603, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.