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 56, 848, 600, 273 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 848, 600, 273 is 1
GCD(56, 848, 600, 273) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 848, 600, 273 is 1
GCD(56, 848, 600, 273) = 1
Given Input numbers are 56, 848, 600, 273
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
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
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Greatest Common Divisior
We found the divisors of 56, 848, 600, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 848, 600, 273 is 1.
Therefore, GCD of numbers 56, 848, 600, 273 is 1
Given Input Data is 56, 848, 600, 273
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 273 is 3 x 7 x 13
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(56, 848) = 5936
GCD(56, 848) = ( 56 x 848 ) / 5936
GCD(56, 848) = 47488 / 5936
GCD(56, 848) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 600) = 600
GCD(8, 600) = ( 8 x 600 ) / 600
GCD(8, 600) = 4800 / 600
GCD(8, 600) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 273) = 2184
GCD(8, 273) = ( 8 x 273 ) / 2184
GCD(8, 273) = 2184 / 2184
GCD(8, 273) = 1
GCD of 56, 848, 600, 273 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 848, 600, 273?
GCD of 56, 848, 600, 273 is 1
2. Where do I get the detailed procedure to find GCD of 56, 848, 600, 273?
You can find a detailed procedure to find GCD of 56, 848, 600, 273 on our page.
3. How to find GCD of 56, 848, 600, 273 on a calculator?
You can find the GCD of 56, 848, 600, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.