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 346, 648, 12, 581 i.e. 1 largest integer that divides all the numbers equally.
GCD of 346, 648, 12, 581 is 1
GCD(346, 648, 12, 581) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 346, 648, 12, 581 is 1
GCD(346, 648, 12, 581) = 1
Given Input numbers are 346, 648, 12, 581
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Greatest Common Divisior
We found the divisors of 346, 648, 12, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 648, 12, 581 is 1.
Therefore, GCD of numbers 346, 648, 12, 581 is 1
Given Input Data is 346, 648, 12, 581
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 346 is 2 x 173
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 581 is 7 x 83
The above numbers do not have any common prime factor. So GCD is 1
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(346, 648) = 112104
GCD(346, 648) = ( 346 x 648 ) / 112104
GCD(346, 648) = 224208 / 112104
GCD(346, 648) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 12) = 12
GCD(2, 12) = ( 2 x 12 ) / 12
GCD(2, 12) = 24 / 12
GCD(2, 12) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 581
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 581) = 1162
GCD(2, 581) = ( 2 x 581 ) / 1162
GCD(2, 581) = 1162 / 1162
GCD(2, 581) = 1
GCD of 346, 648, 12, 581 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 346, 648, 12, 581?
GCD of 346, 648, 12, 581 is 1
2. Where do I get the detailed procedure to find GCD of 346, 648, 12, 581?
You can find a detailed procedure to find GCD of 346, 648, 12, 581 on our page.
3. How to find GCD of 346, 648, 12, 581 on a calculator?
You can find the GCD of 346, 648, 12, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.