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 276, 120, 512 i.e. 4 largest integer that divides all the numbers equally.
GCD of 276, 120, 512 is 4
GCD(276, 120, 512) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 120, 512 is 4
GCD(276, 120, 512) = 4
Given Input numbers are 276, 120, 512
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Greatest Common Divisior
We found the divisors of 276, 120, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 120, 512 is 4.
Therefore, GCD of numbers 276, 120, 512 is 4
Given Input Data is 276, 120, 512
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(276, 120) = 2760
GCD(276, 120) = ( 276 x 120 ) / 2760
GCD(276, 120) = 33120 / 2760
GCD(276, 120) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 512) = 1536
GCD(12, 512) = ( 12 x 512 ) / 1536
GCD(12, 512) = 6144 / 1536
GCD(12, 512) = 4
GCD of 276, 120, 512 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 276, 120, 512?
GCD of 276, 120, 512 is 4
2. Where do I get the detailed procedure to find GCD of 276, 120, 512?
You can find a detailed procedure to find GCD of 276, 120, 512 on our page.
3. How to find GCD of 276, 120, 512 on a calculator?
You can find the GCD of 276, 120, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.