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 688, 372, 330 i.e. 2 largest integer that divides all the numbers equally.
GCD of 688, 372, 330 is 2
GCD(688, 372, 330) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 372, 330 is 2
GCD(688, 372, 330) = 2
Given Input numbers are 688, 372, 330
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Greatest Common Divisior
We found the divisors of 688, 372, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 372, 330 is 2.
Therefore, GCD of numbers 688, 372, 330 is 2
Given Input Data is 688, 372, 330
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 330 is 2 x 3 x 5 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(688, 372) = 63984
GCD(688, 372) = ( 688 x 372 ) / 63984
GCD(688, 372) = 255936 / 63984
GCD(688, 372) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 330) = 660
GCD(4, 330) = ( 4 x 330 ) / 660
GCD(4, 330) = 1320 / 660
GCD(4, 330) = 2
GCD of 688, 372, 330 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 372, 330?
GCD of 688, 372, 330 is 2
2. Where do I get the detailed procedure to find GCD of 688, 372, 330?
You can find a detailed procedure to find GCD of 688, 372, 330 on our page.
3. How to find GCD of 688, 372, 330 on a calculator?
You can find the GCD of 688, 372, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.