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 328, 469, 649, 914 i.e. 1 largest integer that divides all the numbers equally.
GCD of 328, 469, 649, 914 is 1
GCD(328, 469, 649, 914) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 469, 649, 914 is 1
GCD(328, 469, 649, 914) = 1
Given Input numbers are 328, 469, 649, 914
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Greatest Common Divisior
We found the divisors of 328, 469, 649, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 469, 649, 914 is 1.
Therefore, GCD of numbers 328, 469, 649, 914 is 1
Given Input Data is 328, 469, 649, 914
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 469 is 7 x 67
Prime Factorization of 649 is 11 x 59
Prime Factorization of 914 is 2 x 457
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(328, 469) = 153832
GCD(328, 469) = ( 328 x 469 ) / 153832
GCD(328, 469) = 153832 / 153832
GCD(328, 469) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 914
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
GCD(1, 914) = 914 / 914
GCD(1, 914) = 1
GCD of 328, 469, 649, 914 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 328, 469, 649, 914?
GCD of 328, 469, 649, 914 is 1
2. Where do I get the detailed procedure to find GCD of 328, 469, 649, 914?
You can find a detailed procedure to find GCD of 328, 469, 649, 914 on our page.
3. How to find GCD of 328, 469, 649, 914 on a calculator?
You can find the GCD of 328, 469, 649, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.