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 275, 576, 51 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 576, 51 is 1
GCD(275, 576, 51) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 576, 51 is 1
GCD(275, 576, 51) = 1
Given Input numbers are 275, 576, 51
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Greatest Common Divisior
We found the divisors of 275, 576, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 576, 51 is 1.
Therefore, GCD of numbers 275, 576, 51 is 1
Given Input Data is 275, 576, 51
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 51 is 3 x 17
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(275, 576) = 158400
GCD(275, 576) = ( 275 x 576 ) / 158400
GCD(275, 576) = 158400 / 158400
GCD(275, 576) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
GCD of 275, 576, 51 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 576, 51?
GCD of 275, 576, 51 is 1
2. Where do I get the detailed procedure to find GCD of 275, 576, 51?
You can find a detailed procedure to find GCD of 275, 576, 51 on our page.
3. How to find GCD of 275, 576, 51 on a calculator?
You can find the GCD of 275, 576, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.