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 385, 897, 24, 543 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 897, 24, 543 is 1
GCD(385, 897, 24, 543) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 897, 24, 543 is 1
GCD(385, 897, 24, 543) = 1
Given Input numbers are 385, 897, 24, 543
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
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 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Greatest Common Divisior
We found the divisors of 385, 897, 24, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 897, 24, 543 is 1.
Therefore, GCD of numbers 385, 897, 24, 543 is 1
Given Input Data is 385, 897, 24, 543
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 543 is 3 x 181
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(385, 897) = 345345
GCD(385, 897) = ( 385 x 897 ) / 345345
GCD(385, 897) = 345345 / 345345
GCD(385, 897) = 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 543
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 543) = 543
GCD(1, 543) = ( 1 x 543 ) / 543
GCD(1, 543) = 543 / 543
GCD(1, 543) = 1
GCD of 385, 897, 24, 543 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 897, 24, 543?
GCD of 385, 897, 24, 543 is 1
2. Where do I get the detailed procedure to find GCD of 385, 897, 24, 543?
You can find a detailed procedure to find GCD of 385, 897, 24, 543 on our page.
3. How to find GCD of 385, 897, 24, 543 on a calculator?
You can find the GCD of 385, 897, 24, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.