GCD of 340, 396, 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 340, 396, 21 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 396, 21 is 1
GCD(340, 396, 21) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 396, 21 is 1
GCD(340, 396, 21) = 1
GCDof 340,396,21 is 1
Given Input numbers are 340, 396, 21
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
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 340, 396, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 396, 21 is 1.
Therefore, GCD of numbers 340, 396, 21 is 1
Given Input Data is 340, 396, 21
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 21 is 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 340, 396, 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(340, 396) = 33660
GCD(340, 396) = ( 340 x 396 ) / 33660
GCD(340, 396) = 134640 / 33660
GCD(340, 396) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 21) = 84
GCD(4, 21) = ( 4 x 21 ) / 84
GCD(4, 21) = 84 / 84
GCD(4, 21) = 1
GCD of 340, 396, 21 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 340, 396, 21
1. What is the GCD of 340, 396, 21?
GCD of 340, 396, 21 is 1
2. Where do I get the detailed procedure to find GCD of 340, 396, 21?
You can find a detailed procedure to find GCD of 340, 396, 21 on our page.
3. How to find GCD of 340, 396, 21 on a calculator?
You can find the GCD of 340, 396, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.