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, 888, 590, 382 i.e. 2 largest integer that divides all the numbers equally.
GCD of 276, 888, 590, 382 is 2
GCD(276, 888, 590, 382) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 888, 590, 382 is 2
GCD(276, 888, 590, 382) = 2
Given Input numbers are 276, 888, 590, 382
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 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 276, 888, 590, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 888, 590, 382 is 2.
Therefore, GCD of numbers 276, 888, 590, 382 is 2
Given Input Data is 276, 888, 590, 382
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 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 382 is 2 x 191
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 888) = 20424
GCD(276, 888) = ( 276 x 888 ) / 20424
GCD(276, 888) = 245088 / 20424
GCD(276, 888) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 590) = 3540
GCD(12, 590) = ( 12 x 590 ) / 3540
GCD(12, 590) = 7080 / 3540
GCD(12, 590) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
GCD(2, 382) = 764 / 382
GCD(2, 382) = 2
GCD of 276, 888, 590, 382 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 276, 888, 590, 382?
GCD of 276, 888, 590, 382 is 2
2. Where do I get the detailed procedure to find GCD of 276, 888, 590, 382?
You can find a detailed procedure to find GCD of 276, 888, 590, 382 on our page.
3. How to find GCD of 276, 888, 590, 382 on a calculator?
You can find the GCD of 276, 888, 590, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.