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 329, 912, 49, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 912, 49, 846 is 1
GCD(329, 912, 49, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 912, 49, 846 is 1
GCD(329, 912, 49, 846) = 1
Given Input numbers are 329, 912, 49, 846
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Greatest Common Divisior
We found the divisors of 329, 912, 49, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 912, 49, 846 is 1.
Therefore, GCD of numbers 329, 912, 49, 846 is 1
Given Input Data is 329, 912, 49, 846
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 49 is 7 x 7
Prime Factorization of 846 is 2 x 3 x 3 x 47
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(329, 912) = 300048
GCD(329, 912) = ( 329 x 912 ) / 300048
GCD(329, 912) = 300048 / 300048
GCD(329, 912) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
GCD of 329, 912, 49, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 912, 49, 846?
GCD of 329, 912, 49, 846 is 1
2. Where do I get the detailed procedure to find GCD of 329, 912, 49, 846?
You can find a detailed procedure to find GCD of 329, 912, 49, 846 on our page.
3. How to find GCD of 329, 912, 49, 846 on a calculator?
You can find the GCD of 329, 912, 49, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.