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 284, 597, 24, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 284, 597, 24, 613 is 1
GCD(284, 597, 24, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 284, 597, 24, 613 is 1
GCD(284, 597, 24, 613) = 1
Given Input numbers are 284, 597, 24, 613
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 284, 597, 24, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 597, 24, 613 is 1.
Therefore, GCD of numbers 284, 597, 24, 613 is 1
Given Input Data is 284, 597, 24, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 597 is 3 x 199
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 613 is 613
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(284, 597) = 169548
GCD(284, 597) = ( 284 x 597 ) / 169548
GCD(284, 597) = 169548 / 169548
GCD(284, 597) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
GCD(1, 613) = 613 / 613
GCD(1, 613) = 1
GCD of 284, 597, 24, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 284, 597, 24, 613?
GCD of 284, 597, 24, 613 is 1
2. Where do I get the detailed procedure to find GCD of 284, 597, 24, 613?
You can find a detailed procedure to find GCD of 284, 597, 24, 613 on our page.
3. How to find GCD of 284, 597, 24, 613 on a calculator?
You can find the GCD of 284, 597, 24, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.