GCD of 774, 309, 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 774, 309, 21 i.e. 3 largest integer that divides all the numbers equally.
GCD of 774, 309, 21 is 3
GCD(774, 309, 21) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 309, 21 is 3
GCD(774, 309, 21) = 3
GCDof 774,309,21 is 3
Given Input numbers are 774, 309, 21
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
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 774, 309, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 309, 21 is 3.
Therefore, GCD of numbers 774, 309, 21 is 3
Given Input Data is 774, 309, 21
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 309 is 3 x 103
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 774, 309, 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(774, 309) = 79722
GCD(774, 309) = ( 774 x 309 ) / 79722
GCD(774, 309) = 239166 / 79722
GCD(774, 309) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
GCD(3, 21) = 63 / 21
GCD(3, 21) = 3
GCD of 774, 309, 21 is 3
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FAQs on GCD of numbers 774, 309, 21
1. What is the GCD of 774, 309, 21?
GCD of 774, 309, 21 is 3
2. Where do I get the detailed procedure to find GCD of 774, 309, 21?
You can find a detailed procedure to find GCD of 774, 309, 21 on our page.
3. How to find GCD of 774, 309, 21 on a calculator?
You can find the GCD of 774, 309, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.