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 392, 654, 330, 242 i.e. 2 largest integer that divides all the numbers equally.
GCD of 392, 654, 330, 242 is 2
GCD(392, 654, 330, 242) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 392, 654, 330, 242 is 2
GCD(392, 654, 330, 242) = 2
Given Input numbers are 392, 654, 330, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
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
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 392, 654, 330, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 654, 330, 242 is 2.
Therefore, GCD of numbers 392, 654, 330, 242 is 2
Given Input Data is 392, 654, 330, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 242 is 2 x 11 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(392, 654) = 128184
GCD(392, 654) = ( 392 x 654 ) / 128184
GCD(392, 654) = 256368 / 128184
GCD(392, 654) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 330) = 330
GCD(2, 330) = ( 2 x 330 ) / 330
GCD(2, 330) = 660 / 330
GCD(2, 330) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 242) = 242
GCD(2, 242) = ( 2 x 242 ) / 242
GCD(2, 242) = 484 / 242
GCD(2, 242) = 2
GCD of 392, 654, 330, 242 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 392, 654, 330, 242?
GCD of 392, 654, 330, 242 is 2
2. Where do I get the detailed procedure to find GCD of 392, 654, 330, 242?
You can find a detailed procedure to find GCD of 392, 654, 330, 242 on our page.
3. How to find GCD of 392, 654, 330, 242 on a calculator?
You can find the GCD of 392, 654, 330, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.