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 554, 330, 971, 328 i.e. 1 largest integer that divides all the numbers equally.
GCD of 554, 330, 971, 328 is 1
GCD(554, 330, 971, 328) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 554, 330, 971, 328 is 1
GCD(554, 330, 971, 328) = 1
Given Input numbers are 554, 330, 971, 328
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
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 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
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 554, 330, 971, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 330, 971, 328 is 1.
Therefore, GCD of numbers 554, 330, 971, 328 is 1
Given Input Data is 554, 330, 971, 328
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 554 is 2 x 277
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 971 is 971
Prime Factorization of 328 is 2 x 2 x 2 x 41
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(554, 330) = 91410
GCD(554, 330) = ( 554 x 330 ) / 91410
GCD(554, 330) = 182820 / 91410
GCD(554, 330) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 971) = 1942
GCD(2, 971) = ( 2 x 971 ) / 1942
GCD(2, 971) = 1942 / 1942
GCD(2, 971) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 328) = 328
GCD(1, 328) = ( 1 x 328 ) / 328
GCD(1, 328) = 328 / 328
GCD(1, 328) = 1
GCD of 554, 330, 971, 328 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 554, 330, 971, 328?
GCD of 554, 330, 971, 328 is 1
2. Where do I get the detailed procedure to find GCD of 554, 330, 971, 328?
You can find a detailed procedure to find GCD of 554, 330, 971, 328 on our page.
3. How to find GCD of 554, 330, 971, 328 on a calculator?
You can find the GCD of 554, 330, 971, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.