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, 560, 955 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 560, 955 is 1
GCD(584, 560, 955) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 560, 955 is 1
GCD(584, 560, 955) = 1
Given Input numbers are 584, 560, 955
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 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
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 584, 560, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 560, 955 is 1.
Therefore, GCD of numbers 584, 560, 955 is 1
Given Input Data is 584, 560, 955
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 560 is 2 x 2 x 2 x 2 x 5 x 7
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(584, 560) = 40880
GCD(584, 560) = ( 584 x 560 ) / 40880
GCD(584, 560) = 327040 / 40880
GCD(584, 560) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 955) = 7640
GCD(8, 955) = ( 8 x 955 ) / 7640
GCD(8, 955) = 7640 / 7640
GCD(8, 955) = 1
GCD of 584, 560, 955 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 560, 955?
GCD of 584, 560, 955 is 1
2. Where do I get the detailed procedure to find GCD of 584, 560, 955?
You can find a detailed procedure to find GCD of 584, 560, 955 on our page.
3. How to find GCD of 584, 560, 955 on a calculator?
You can find the GCD of 584, 560, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.