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 584, 961, 90, 641 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 961, 90, 641 is 1
GCD(584, 961, 90, 641) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 961, 90, 641 is 1
GCD(584, 961, 90, 641) = 1
Given Input numbers are 584, 961, 90, 641
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
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 641
List of positive integer divisors of 641 that divides 641 without a remainder.
1, 641
Greatest Common Divisior
We found the divisors of 584, 961, 90, 641 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 961, 90, 641 is 1.
Therefore, GCD of numbers 584, 961, 90, 641 is 1
Given Input Data is 584, 961, 90, 641
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 961 is 31 x 31
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 641 is 641
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(584, 961) = 561224
GCD(584, 961) = ( 584 x 961 ) / 561224
GCD(584, 961) = 561224 / 561224
GCD(584, 961) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 641
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 641) = 641
GCD(1, 641) = ( 1 x 641 ) / 641
GCD(1, 641) = 641 / 641
GCD(1, 641) = 1
GCD of 584, 961, 90, 641 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 961, 90, 641?
GCD of 584, 961, 90, 641 is 1
2. Where do I get the detailed procedure to find GCD of 584, 961, 90, 641?
You can find a detailed procedure to find GCD of 584, 961, 90, 641 on our page.
3. How to find GCD of 584, 961, 90, 641 on a calculator?
You can find the GCD of 584, 961, 90, 641 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.