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 543, 851, 24, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 543, 851, 24, 296 is 1
GCD(543, 851, 24, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 543, 851, 24, 296 is 1
GCD(543, 851, 24, 296) = 1
Given Input numbers are 543, 851, 24, 296
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
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 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 543, 851, 24, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 851, 24, 296 is 1.
Therefore, GCD of numbers 543, 851, 24, 296 is 1
Given Input Data is 543, 851, 24, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 543 is 3 x 181
Prime Factorization of 851 is 23 x 37
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 296 is 2 x 2 x 2 x 37
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(543, 851) = 462093
GCD(543, 851) = ( 543 x 851 ) / 462093
GCD(543, 851) = 462093 / 462093
GCD(543, 851) = 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 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 543, 851, 24, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 543, 851, 24, 296?
GCD of 543, 851, 24, 296 is 1
2. Where do I get the detailed procedure to find GCD of 543, 851, 24, 296?
You can find a detailed procedure to find GCD of 543, 851, 24, 296 on our page.
3. How to find GCD of 543, 851, 24, 296 on a calculator?
You can find the GCD of 543, 851, 24, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.