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 602, 546, 328 i.e. 2 largest integer that divides all the numbers equally.
GCD of 602, 546, 328 is 2
GCD(602, 546, 328) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 602, 546, 328 is 2
GCD(602, 546, 328) = 2
Given Input numbers are 602, 546, 328
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Greatest Common Divisior
We found the divisors of 602, 546, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 546, 328 is 2.
Therefore, GCD of numbers 602, 546, 328 is 2
Given Input Data is 602, 546, 328
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 328 is 2 x 2 x 2 x 41
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(602, 546) = 23478
GCD(602, 546) = ( 602 x 546 ) / 23478
GCD(602, 546) = 328692 / 23478
GCD(602, 546) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 328) = 2296
GCD(14, 328) = ( 14 x 328 ) / 2296
GCD(14, 328) = 4592 / 2296
GCD(14, 328) = 2
GCD of 602, 546, 328 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 602, 546, 328?
GCD of 602, 546, 328 is 2
2. Where do I get the detailed procedure to find GCD of 602, 546, 328?
You can find a detailed procedure to find GCD of 602, 546, 328 on our page.
3. How to find GCD of 602, 546, 328 on a calculator?
You can find the GCD of 602, 546, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.