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 215, 584, 80, 576 i.e. 1 largest integer that divides all the numbers equally.
GCD of 215, 584, 80, 576 is 1
GCD(215, 584, 80, 576) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 215, 584, 80, 576 is 1
GCD(215, 584, 80, 576) = 1
Given Input numbers are 215, 584, 80, 576
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
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 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Greatest Common Divisior
We found the divisors of 215, 584, 80, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 584, 80, 576 is 1.
Therefore, GCD of numbers 215, 584, 80, 576 is 1
Given Input Data is 215, 584, 80, 576
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 215 is 5 x 43
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
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(215, 584) = 125560
GCD(215, 584) = ( 215 x 584 ) / 125560
GCD(215, 584) = 125560 / 125560
GCD(215, 584) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
GCD(1, 576) = 576 / 576
GCD(1, 576) = 1
GCD of 215, 584, 80, 576 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 215, 584, 80, 576?
GCD of 215, 584, 80, 576 is 1
2. Where do I get the detailed procedure to find GCD of 215, 584, 80, 576?
You can find a detailed procedure to find GCD of 215, 584, 80, 576 on our page.
3. How to find GCD of 215, 584, 80, 576 on a calculator?
You can find the GCD of 215, 584, 80, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.