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 273, 357, 24, 600 i.e. 3 largest integer that divides all the numbers equally.
GCD of 273, 357, 24, 600 is 3
GCD(273, 357, 24, 600) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 273, 357, 24, 600 is 3
GCD(273, 357, 24, 600) = 3
Given Input numbers are 273, 357, 24, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
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 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Greatest Common Divisior
We found the divisors of 273, 357, 24, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 357, 24, 600 is 3.
Therefore, GCD of numbers 273, 357, 24, 600 is 3
Given Input Data is 273, 357, 24, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(273, 357) = 4641
GCD(273, 357) = ( 273 x 357 ) / 4641
GCD(273, 357) = 97461 / 4641
GCD(273, 357) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 24) = 168
GCD(21, 24) = ( 21 x 24 ) / 168
GCD(21, 24) = 504 / 168
GCD(21, 24) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 600) = 600
GCD(3, 600) = ( 3 x 600 ) / 600
GCD(3, 600) = 1800 / 600
GCD(3, 600) = 3
GCD of 273, 357, 24, 600 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 273, 357, 24, 600?
GCD of 273, 357, 24, 600 is 3
2. Where do I get the detailed procedure to find GCD of 273, 357, 24, 600?
You can find a detailed procedure to find GCD of 273, 357, 24, 600 on our page.
3. How to find GCD of 273, 357, 24, 600 on a calculator?
You can find the GCD of 273, 357, 24, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.