GCD of 660, 378, 343 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 660, 378, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 378, 343 is 1
GCD(660, 378, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 378, 343 is 1
GCD(660, 378, 343) = 1
GCDof 660,378,343 is 1
Given Input numbers are 660, 378, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 660, 378, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 378, 343 is 1.
Therefore, GCD of numbers 660, 378, 343 is 1
Given Input Data is 660, 378, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 343 is 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 660, 378, 343 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(660, 378) = 41580
GCD(660, 378) = ( 660 x 378 ) / 41580
GCD(660, 378) = 249480 / 41580
GCD(660, 378) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 343) = 2058
GCD(6, 343) = ( 6 x 343 ) / 2058
GCD(6, 343) = 2058 / 2058
GCD(6, 343) = 1
GCD of 660, 378, 343 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 660, 378, 343
1. What is the GCD of 660, 378, 343?
GCD of 660, 378, 343 is 1
2. Where do I get the detailed procedure to find GCD of 660, 378, 343?
You can find a detailed procedure to find GCD of 660, 378, 343 on our page.
3. How to find GCD of 660, 378, 343 on a calculator?
You can find the GCD of 660, 378, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.