GCD of 612, 648, 303 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 612, 648, 303 i.e. 3 largest integer that divides all the numbers equally.
GCD of 612, 648, 303 is 3
GCD(612, 648, 303) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 648, 303 is 3
GCD(612, 648, 303) = 3
GCDof 612,648,303 is 3
Given Input numbers are 612, 648, 303
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Greatest Common Divisior
We found the divisors of 612, 648, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 648, 303 is 3.
Therefore, GCD of numbers 612, 648, 303 is 3
Given Input Data is 612, 648, 303
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 303 is 3 x 101
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 612, 648, 303 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(612, 648) = 11016
GCD(612, 648) = ( 612 x 648 ) / 11016
GCD(612, 648) = 396576 / 11016
GCD(612, 648) = 36
Step2:
Here we consider the GCD from the above i.e. 36 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(36, 303) = 3636
GCD(36, 303) = ( 36 x 303 ) / 3636
GCD(36, 303) = 10908 / 3636
GCD(36, 303) = 3
GCD of 612, 648, 303 is 3
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FAQs on GCD of numbers 612, 648, 303
1. What is the GCD of 612, 648, 303?
GCD of 612, 648, 303 is 3
2. Where do I get the detailed procedure to find GCD of 612, 648, 303?
You can find a detailed procedure to find GCD of 612, 648, 303 on our page.
3. How to find GCD of 612, 648, 303 on a calculator?
You can find the GCD of 612, 648, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.