GCD of 378, 987, 243 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 378, 987, 243 i.e. 3 largest integer that divides all the numbers equally.
GCD of 378, 987, 243 is 3
GCD(378, 987, 243) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 987, 243 is 3
GCD(378, 987, 243) = 3
GCDof 378,987,243 is 3
Given Input numbers are 378, 987, 243
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 378, 987, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 987, 243 is 3.
Therefore, GCD of numbers 378, 987, 243 is 3
Given Input Data is 378, 987, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 378, 987, 243 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(378, 987) = 17766
GCD(378, 987) = ( 378 x 987 ) / 17766
GCD(378, 987) = 373086 / 17766
GCD(378, 987) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 243) = 1701
GCD(21, 243) = ( 21 x 243 ) / 1701
GCD(21, 243) = 5103 / 1701
GCD(21, 243) = 3
GCD of 378, 987, 243 is 3
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FAQs on GCD of numbers 378, 987, 243
1. What is the GCD of 378, 987, 243?
GCD of 378, 987, 243 is 3
2. Where do I get the detailed procedure to find GCD of 378, 987, 243?
You can find a detailed procedure to find GCD of 378, 987, 243 on our page.
3. How to find GCD of 378, 987, 243 on a calculator?
You can find the GCD of 378, 987, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.