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, 613, 51, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 613, 51, 114 is 1
GCD(584, 613, 51, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 613, 51, 114 is 1
GCD(584, 613, 51, 114) = 1
Given Input numbers are 584, 613, 51, 114
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 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 584, 613, 51, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 613, 51, 114 is 1.
Therefore, GCD of numbers 584, 613, 51, 114 is 1
Given Input Data is 584, 613, 51, 114
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 613 is 613
Prime Factorization of 51 is 3 x 17
Prime Factorization of 114 is 2 x 3 x 19
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, 613) = 357992
GCD(584, 613) = ( 584 x 613 ) / 357992
GCD(584, 613) = 357992 / 357992
GCD(584, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
GCD of 584, 613, 51, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 613, 51, 114?
GCD of 584, 613, 51, 114 is 1
2. Where do I get the detailed procedure to find GCD of 584, 613, 51, 114?
You can find a detailed procedure to find GCD of 584, 613, 51, 114 on our page.
3. How to find GCD of 584, 613, 51, 114 on a calculator?
You can find the GCD of 584, 613, 51, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.