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 90, 328, 711, 955 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 328, 711, 955 is 1
GCD(90, 328, 711, 955) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 328, 711, 955 is 1
GCD(90, 328, 711, 955) = 1
Given Input numbers are 90, 328, 711, 955
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
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 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Greatest Common Divisior
We found the divisors of 90, 328, 711, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 328, 711, 955 is 1.
Therefore, GCD of numbers 90, 328, 711, 955 is 1
Given Input Data is 90, 328, 711, 955
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 955 is 5 x 191
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(90, 328) = 14760
GCD(90, 328) = ( 90 x 328 ) / 14760
GCD(90, 328) = 29520 / 14760
GCD(90, 328) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 711) = 1422
GCD(2, 711) = ( 2 x 711 ) / 1422
GCD(2, 711) = 1422 / 1422
GCD(2, 711) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 955) = 955
GCD(1, 955) = ( 1 x 955 ) / 955
GCD(1, 955) = 955 / 955
GCD(1, 955) = 1
GCD of 90, 328, 711, 955 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 328, 711, 955?
GCD of 90, 328, 711, 955 is 1
2. Where do I get the detailed procedure to find GCD of 90, 328, 711, 955?
You can find a detailed procedure to find GCD of 90, 328, 711, 955 on our page.
3. How to find GCD of 90, 328, 711, 955 on a calculator?
You can find the GCD of 90, 328, 711, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.