GCD of 387, 414, 21 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 387, 414, 21 i.e. 3 largest integer that divides all the numbers equally.
GCD of 387, 414, 21 is 3
GCD(387, 414, 21) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 414, 21 is 3
GCD(387, 414, 21) = 3
GCDof 387,414,21 is 3
Given Input numbers are 387, 414, 21
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Greatest Common Divisior
We found the divisors of 387, 414, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 414, 21 is 3.
Therefore, GCD of numbers 387, 414, 21 is 3
Given Input Data is 387, 414, 21
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 21 is 3 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 387, 414, 21 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(387, 414) = 17802
GCD(387, 414) = ( 387 x 414 ) / 17802
GCD(387, 414) = 160218 / 17802
GCD(387, 414) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 21) = 63
GCD(9, 21) = ( 9 x 21 ) / 63
GCD(9, 21) = 189 / 63
GCD(9, 21) = 3
GCD of 387, 414, 21 is 3
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FAQs on GCD of numbers 387, 414, 21
1. What is the GCD of 387, 414, 21?
GCD of 387, 414, 21 is 3
2. Where do I get the detailed procedure to find GCD of 387, 414, 21?
You can find a detailed procedure to find GCD of 387, 414, 21 on our page.
3. How to find GCD of 387, 414, 21 on a calculator?
You can find the GCD of 387, 414, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.