GCD of 668, 300, 382 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 668, 300, 382 i.e. 2 largest integer that divides all the numbers equally.
GCD of 668, 300, 382 is 2
GCD(668, 300, 382) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 668, 300, 382 is 2
GCD(668, 300, 382) = 2
GCDof 668,300,382 is 2
Given Input numbers are 668, 300, 382
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 668, 300, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 300, 382 is 2.
Therefore, GCD of numbers 668, 300, 382 is 2
Given Input Data is 668, 300, 382
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 382 is 2 x 191
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 668, 300, 382 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(668, 300) = 50100
GCD(668, 300) = ( 668 x 300 ) / 50100
GCD(668, 300) = 200400 / 50100
GCD(668, 300) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 382) = 764
GCD(4, 382) = ( 4 x 382 ) / 764
GCD(4, 382) = 1528 / 764
GCD(4, 382) = 2
GCD of 668, 300, 382 is 2
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FAQs on GCD of numbers 668, 300, 382
1. What is the GCD of 668, 300, 382?
GCD of 668, 300, 382 is 2
2. Where do I get the detailed procedure to find GCD of 668, 300, 382?
You can find a detailed procedure to find GCD of 668, 300, 382 on our page.
3. How to find GCD of 668, 300, 382 on a calculator?
You can find the GCD of 668, 300, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.